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What is the Least Common Multiple of 88157 and 88165?

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 88157 and 88165 is 7772361905.

LCM(88157,88165) = 7772361905

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Least Common Multiple of 88157 and 88165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88157 and 88165, than apply into the LCM equation.

GCF(88157,88165) = 1
LCM(88157,88165) = ( 88157 × 88165) / 1
LCM(88157,88165) = 7772361905 / 1
LCM(88157,88165) = 7772361905

Least Common Multiple (LCM) of 88157 and 88165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88157 and 88165. First we will calculate the prime factors of 88157 and 88165.

Prime Factorization of 88157

Prime factors of 88157 are 199, 443. Prime factorization of 88157 in exponential form is:

88157 = 1991 × 4431

Prime Factorization of 88165

Prime factors of 88165 are 5, 7, 11, 229. Prime factorization of 88165 in exponential form is:

88165 = 51 × 71 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 88157 and 88165.

LCM(88157,88165) = 1991 × 4431 × 51 × 71 × 111 × 2291
LCM(88157,88165) = 7772361905