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What is the Least Common Multiple of 88108 and 88113?

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 88108 and 88113 is 7763460204.

LCM(88108,88113) = 7763460204

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Least Common Multiple of 88108 and 88113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88108 and 88113, than apply into the LCM equation.

GCF(88108,88113) = 1
LCM(88108,88113) = ( 88108 × 88113) / 1
LCM(88108,88113) = 7763460204 / 1
LCM(88108,88113) = 7763460204

Least Common Multiple (LCM) of 88108 and 88113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88108 and 88113. First we will calculate the prime factors of 88108 and 88113.

Prime Factorization of 88108

Prime factors of 88108 are 2, 22027. Prime factorization of 88108 in exponential form is:

88108 = 22 × 220271

Prime Factorization of 88113

Prime factors of 88113 are 3, 23, 1277. Prime factorization of 88113 in exponential form is:

88113 = 31 × 231 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 88108 and 88113.

LCM(88108,88113) = 22 × 220271 × 31 × 231 × 12771
LCM(88108,88113) = 7763460204