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What is the Least Common Multiple of 91571 and 91591?

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 91571 and 91591 is 8387079461.

LCM(91571,91591) = 8387079461

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Least Common Multiple of 91571 and 91591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91571 and 91591, than apply into the LCM equation.

GCF(91571,91591) = 1
LCM(91571,91591) = ( 91571 × 91591) / 1
LCM(91571,91591) = 8387079461 / 1
LCM(91571,91591) = 8387079461

Least Common Multiple (LCM) of 91571 and 91591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91571 and 91591. First we will calculate the prime factors of 91571 and 91591.

Prime Factorization of 91571

Prime factors of 91571 are 91571. Prime factorization of 91571 in exponential form is:

91571 = 915711

Prime Factorization of 91591

Prime factors of 91591 are 91591. Prime factorization of 91591 in exponential form is:

91591 = 915911

Now multiplying the highest exponent prime factors to calculate the LCM of 91571 and 91591.

LCM(91571,91591) = 915711 × 915911
LCM(91571,91591) = 8387079461