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What is the Least Common Multiple of 92675 and 92692?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92675 and 92692 is 8590231100.

LCM(92675,92692) = 8590231100

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Least Common Multiple of 92675 and 92692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92675 and 92692, than apply into the LCM equation.

GCF(92675,92692) = 1
LCM(92675,92692) = ( 92675 × 92692) / 1
LCM(92675,92692) = 8590231100 / 1
LCM(92675,92692) = 8590231100

Least Common Multiple (LCM) of 92675 and 92692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92675 and 92692. First we will calculate the prime factors of 92675 and 92692.

Prime Factorization of 92675

Prime factors of 92675 are 5, 11, 337. Prime factorization of 92675 in exponential form is:

92675 = 52 × 111 × 3371

Prime Factorization of 92692

Prime factors of 92692 are 2, 23173. Prime factorization of 92692 in exponential form is:

92692 = 22 × 231731

Now multiplying the highest exponent prime factors to calculate the LCM of 92675 and 92692.

LCM(92675,92692) = 52 × 111 × 3371 × 22 × 231731
LCM(92675,92692) = 8590231100