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What is the Least Common Multiple of 88117 and 88137?

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 88117 and 88137 is 7766368029.

LCM(88117,88137) = 7766368029

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Least Common Multiple of 88117 and 88137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88117 and 88137, than apply into the LCM equation.

GCF(88117,88137) = 1
LCM(88117,88137) = ( 88117 × 88137) / 1
LCM(88117,88137) = 7766368029 / 1
LCM(88117,88137) = 7766368029

Least Common Multiple (LCM) of 88117 and 88137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88117 and 88137. First we will calculate the prime factors of 88117 and 88137.

Prime Factorization of 88117

Prime factors of 88117 are 88117. Prime factorization of 88117 in exponential form is:

88117 = 881171

Prime Factorization of 88137

Prime factors of 88137 are 3, 7, 1399. Prime factorization of 88137 in exponential form is:

88137 = 32 × 71 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 88117 and 88137.

LCM(88117,88137) = 881171 × 32 × 71 × 13991
LCM(88117,88137) = 7766368029