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What is the Least Common Multiple of 92924 and 92937?

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 92924 and 92937 is 664313676.

LCM(92924,92937) = 664313676

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Least Common Multiple of 92924 and 92937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92924 and 92937, than apply into the LCM equation.

GCF(92924,92937) = 13
LCM(92924,92937) = ( 92924 × 92937) / 13
LCM(92924,92937) = 8636077788 / 13
LCM(92924,92937) = 664313676

Least Common Multiple (LCM) of 92924 and 92937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92924 and 92937. First we will calculate the prime factors of 92924 and 92937.

Prime Factorization of 92924

Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:

92924 = 22 × 131 × 17871

Prime Factorization of 92937

Prime factors of 92937 are 3, 13, 2383. Prime factorization of 92937 in exponential form is:

92937 = 31 × 131 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 92924 and 92937.

LCM(92924,92937) = 22 × 131 × 17871 × 31 × 23831
LCM(92924,92937) = 664313676