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What is the Least Common Multiple of 94644 and 94657?

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 94644 and 94657 is 8958717108.

LCM(94644,94657) = 8958717108

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Least Common Multiple of 94644 and 94657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94644 and 94657, than apply into the LCM equation.

GCF(94644,94657) = 1
LCM(94644,94657) = ( 94644 × 94657) / 1
LCM(94644,94657) = 8958717108 / 1
LCM(94644,94657) = 8958717108

Least Common Multiple (LCM) of 94644 and 94657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94644 and 94657. First we will calculate the prime factors of 94644 and 94657.

Prime Factorization of 94644

Prime factors of 94644 are 2, 3, 11, 239. Prime factorization of 94644 in exponential form is:

94644 = 22 × 32 × 111 × 2391

Prime Factorization of 94657

Prime factors of 94657 are 103, 919. Prime factorization of 94657 in exponential form is:

94657 = 1031 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 94644 and 94657.

LCM(94644,94657) = 22 × 32 × 111 × 2391 × 1031 × 9191
LCM(94644,94657) = 8958717108