LCM of 4 and 6

LCM of 4 and 6 is the smallest quantity amongst all frequent multiples of 4 and 6. The primary few multiples of 4 and 6 are (4, 8, 12, 16, 20, 24, . . . . ) and (6, 12, 18, 24, . . . ) respectively. There are 3 generally used strategies to search out LCM of 4 and 6 – by itemizing multiples, by prime factorization, and by division technique.

1. LCM of 4 and 6 2. Listing of Strategies 3. Solved Examples 4. FAQs

Reply: LCM of 4 and 6 is 12.

Clarification:

The LCM of two non-zero integers, x(4) and y(6), is the smallest optimistic integer m(12) that’s divisible by each x(4) and y(6) with none the rest.

The strategies to search out the LCM of 4 and 6 are defined under.

• By Itemizing Multiples
• By Prime Factorization Technique
• By Division Technique

LCM of 4 and 6 by Itemizing Multiples

To calculate the LCM of 4 and 6 by itemizing out the frequent multiples, we are able to comply with the given under steps:

• Step 1: Listing a couple of multiples of 4 (4, 8, 12, 16, 20, 24, . . . . ) and 6 (6, 12, 18, 24, . . . . . )
• Step 2: The frequent multiples from the multiples of 4 and 6 are 12, 24, . . .
• Step 3: The frequent a number of of 4 and 6 is the smallest 12.

∴ The least frequent a number of of 4 and 6 = 12.

LCM of 4 and 6 by Prime Factorization

Prime factorization of 4 and 6 is (2 × 2) = 22 and (2 × 3) = 21 × 31 respectively. The LCM of 4 and 6 could be obtained by multiplying prime elements raised to their respective highest energy, ie 22 × 31 = 12. Therefore, the LCM of 4 and 6 by prime factorization is 12.

LCM of 4 and 6 by Division Technique

To calculate the LCM of 4 and 6 by the division technique, we’ll divide the numbers(4, 6) by their prime elements (ideally frequent). The product of those divisors provides the LCM of 4 and 6.

• Step 1: Discover the prime quantity that could be a issue of the smallest at the least one of many numbers, 4 and 6. Write this prime quantity(2) on the left of the given numbers(4 and 6), separated as per the ladder association.
• Step 2: If any of the given numbers (4, 6) is a a number of of two, divide it by 2 and write the quotient under it. Carry down any quantity that’s not invisible by the prime quantity.
• Step 3: Proceed the steps till solely 1s are left within the final row.

The LCM of 4 and 6 is the product of all prime numbers on the left, ie LCM(4, 6) by division technique = 2 × 2 × 3 = 12.

☛ Additionally Verify:

• LCM of 8, 15 and 21 – 840
• LCM of 8 and 14 – 56
• LCM of 8, 10 and 15 – 120
• LCM of two, 3 and 4 – 12
• LCM of 42 and 70 – 210
• LCM of 25 and 30 – 150
• LCM of seven and 17 – 119