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What is the Least Common Multiple of 91745 and 91756?

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 91745 and 91756 is 8418154220.

LCM(91745,91756) = 8418154220

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Least Common Multiple of 91745 and 91756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91745 and 91756, than apply into the LCM equation.

GCF(91745,91756) = 1
LCM(91745,91756) = ( 91745 × 91756) / 1
LCM(91745,91756) = 8418154220 / 1
LCM(91745,91756) = 8418154220

Least Common Multiple (LCM) of 91745 and 91756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91745 and 91756. First we will calculate the prime factors of 91745 and 91756.

Prime Factorization of 91745

Prime factors of 91745 are 5, 59, 311. Prime factorization of 91745 in exponential form is:

91745 = 51 × 591 × 3111

Prime Factorization of 91756

Prime factors of 91756 are 2, 7, 29, 113. Prime factorization of 91756 in exponential form is:

91756 = 22 × 71 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 91745 and 91756.

LCM(91745,91756) = 51 × 591 × 3111 × 22 × 71 × 291 × 1131
LCM(91745,91756) = 8418154220