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What is the Least Common Multiple of 88997 and 89017?

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 88997 and 89017 is 7922245949.

LCM(88997,89017) = 7922245949

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Least Common Multiple of 88997 and 89017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88997 and 89017, than apply into the LCM equation.

GCF(88997,89017) = 1
LCM(88997,89017) = ( 88997 × 89017) / 1
LCM(88997,89017) = 7922245949 / 1
LCM(88997,89017) = 7922245949

Least Common Multiple (LCM) of 88997 and 89017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88997 and 89017. First we will calculate the prime factors of 88997 and 89017.

Prime Factorization of 88997

Prime factors of 88997 are 88997. Prime factorization of 88997 in exponential form is:

88997 = 889971

Prime Factorization of 89017

Prime factors of 89017 are 89017. Prime factorization of 89017 in exponential form is:

89017 = 890171

Now multiplying the highest exponent prime factors to calculate the LCM of 88997 and 89017.

LCM(88997,89017) = 889971 × 890171
LCM(88997,89017) = 7922245949