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What is the Least Common Multiple of 92938 and 92951?

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 92938 and 92951 is 8638680038.

LCM(92938,92951) = 8638680038

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Least Common Multiple of 92938 and 92951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92938 and 92951, than apply into the LCM equation.

GCF(92938,92951) = 1
LCM(92938,92951) = ( 92938 × 92951) / 1
LCM(92938,92951) = 8638680038 / 1
LCM(92938,92951) = 8638680038

Least Common Multiple (LCM) of 92938 and 92951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92938 and 92951. First we will calculate the prime factors of 92938 and 92951.

Prime Factorization of 92938

Prime factors of 92938 are 2, 31, 1499. Prime factorization of 92938 in exponential form is:

92938 = 21 × 311 × 14991

Prime Factorization of 92951

Prime factors of 92951 are 92951. Prime factorization of 92951 in exponential form is:

92951 = 929511

Now multiplying the highest exponent prime factors to calculate the LCM of 92938 and 92951.

LCM(92938,92951) = 21 × 311 × 14991 × 929511
LCM(92938,92951) = 8638680038