What is the LCM of 420 and 1575?
The LCM of 420 and 1575 is 6300.
Steps to find LCM
- Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7 - Find the prime factorization of 1575
1575 = 3 × 3 × 5 × 5 × 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 × 5 × 5 × 7 - LCM = 6300
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