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What is the Least Common Multiple of 91713 and 91725?

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 91713 and 91725 is 2804124975.

LCM(91713,91725) = 2804124975

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Least Common Multiple of 91713 and 91725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91713 and 91725, than apply into the LCM equation.

GCF(91713,91725) = 3
LCM(91713,91725) = ( 91713 × 91725) / 3
LCM(91713,91725) = 8412374925 / 3
LCM(91713,91725) = 2804124975

Least Common Multiple (LCM) of 91713 and 91725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91713 and 91725. First we will calculate the prime factors of 91713 and 91725.

Prime Factorization of 91713

Prime factors of 91713 are 3, 19, 1609. Prime factorization of 91713 in exponential form is:

91713 = 31 × 191 × 16091

Prime Factorization of 91725

Prime factors of 91725 are 3, 5, 1223. Prime factorization of 91725 in exponential form is:

91725 = 31 × 52 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 91713 and 91725.

LCM(91713,91725) = 31 × 191 × 16091 × 52 × 12231
LCM(91713,91725) = 2804124975