Question

Which of the following is the least common multiple of 24 and 36? [6 864,12, 72 ]
just the answer

Answer 1

Answer:

72

Step-by-step explanation:

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

So we can see that 12 is the HCF.

LCM = HCF x Rest of factors

        = 12 x 6 = 72

Answer 2

Answer:

72

Step-by-step explanation:

Find the prime factorisation of 24

24 = 2 × 2 × 2 × 3

Find the prime factorisation of 36

36 = 2 × 2 × 3 × 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 × 3

LCM = 72