Question

36,84, LCM, HCF?(solutions this question)
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Answer 1

The LCM of 36 and 84 is 252.

Steps to find LCM

• Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

• Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

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

• LCM = 2 × 2 × 3 × 3 × 7

• LCM = 252

The HCF of 36 and 84 is 12

Steps to find HCF

• The prime factorization of 36 is: 2 x 2 x 3 x 3

• The prime factorization of 84 is: 2 x 2 x 3 x 7

• The prime factors and multiplicities 36 and 84 have in common are: 2 x 2 x 3

• 2 x 2 x 3 is the gcf of 36 and 84

• gcf(36,84) = 12

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