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What is the Least Common Multiple of 91940 and 91957?

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 91940 and 91957 is 8454526580.

LCM(91940,91957) = 8454526580

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Least Common Multiple of 91940 and 91957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91940 and 91957, than apply into the LCM equation.

GCF(91940,91957) = 1
LCM(91940,91957) = ( 91940 × 91957) / 1
LCM(91940,91957) = 8454526580 / 1
LCM(91940,91957) = 8454526580

Least Common Multiple (LCM) of 91940 and 91957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91940 and 91957. First we will calculate the prime factors of 91940 and 91957.

Prime Factorization of 91940

Prime factors of 91940 are 2, 5, 4597. Prime factorization of 91940 in exponential form is:

91940 = 22 × 51 × 45971

Prime Factorization of 91957

Prime factors of 91957 are 91957. Prime factorization of 91957 in exponential form is:

91957 = 919571

Now multiplying the highest exponent prime factors to calculate the LCM of 91940 and 91957.

LCM(91940,91957) = 22 × 51 × 45971 × 919571
LCM(91940,91957) = 8454526580