find the LCM of the following by prime factorization method:6174,1512
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Find the prime factorization of 6174
6174 = 2 × 3 × 3 × 7 × 7 × 7
Find the prime factorization of 1512
1512 = 2 × 2 × 2 × 3 × 3 × 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 × 2 × 3 × 3 × 3 × 7 × 7 × 7
LCM = 74088
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