Question

find the L.C.M. of 12,24 ​

Answer 1

Step-by-step explanation:

Find the prime factorization of 12

12 = 2 × 2 × 3

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 3

LCM = 24

Answer 2

Answer:

The LCM of (12,24) = 24

Step-by-step explanation:

LCM is the product of the greatest powers of each prime factor involved in the numbers.

12 = $2^2$ × $3^1$

24 = $2^3$ × $3^1$

∴ The LCM of (12,24) = $2^3$ × $3^1$

                                =24

∴ The LCM of (12,24) = 24

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