Find the LCM of the following number by the prime factorisation method 36,72
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Answer: The LCM of 36 and 72 is 72.
Steps to find LCM
Find the prime factorization of 36
36 = 2 × 2 × 3 × 3
Find the prime factorization of 72
72 = 2 × 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
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