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What is the Least Common Multiple of 92905 and 92912?

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 92905 and 92912 is 8631989360.

LCM(92905,92912) = 8631989360

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Least Common Multiple of 92905 and 92912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92905 and 92912, than apply into the LCM equation.

GCF(92905,92912) = 1
LCM(92905,92912) = ( 92905 × 92912) / 1
LCM(92905,92912) = 8631989360 / 1
LCM(92905,92912) = 8631989360

Least Common Multiple (LCM) of 92905 and 92912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92905 and 92912. First we will calculate the prime factors of 92905 and 92912.

Prime Factorization of 92905

Prime factors of 92905 are 5, 17, 1093. Prime factorization of 92905 in exponential form is:

92905 = 51 × 171 × 10931

Prime Factorization of 92912

Prime factors of 92912 are 2, 5807. Prime factorization of 92912 in exponential form is:

92912 = 24 × 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 92905 and 92912.

LCM(92905,92912) = 51 × 171 × 10931 × 24 × 58071
LCM(92905,92912) = 8631989360