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What is the Least Common Multiple of 92938 and 92953?

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 92953 is 8638865914.

LCM(92938,92953) = 8638865914

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Least Common Multiple of 92938 and 92953 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 92953, than apply into the LCM equation.

GCF(92938,92953) = 1
LCM(92938,92953) = ( 92938 × 92953) / 1
LCM(92938,92953) = 8638865914 / 1
LCM(92938,92953) = 8638865914

Least Common Multiple (LCM) of 92938 and 92953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92938 and 92953. First we will calculate the prime factors of 92938 and 92953.

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 92953

Prime factors of 92953 are 7, 271. Prime factorization of 92953 in exponential form is:

92953 = 73 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 92938 and 92953.

LCM(92938,92953) = 21 × 311 × 14991 × 73 × 2711
LCM(92938,92953) = 8638865914