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What is the Least Common Multiple of 94639 and 94655?

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 94639 and 94655 is 8958054545.

LCM(94639,94655) = 8958054545

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Least Common Multiple of 94639 and 94655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94639 and 94655, than apply into the LCM equation.

GCF(94639,94655) = 1
LCM(94639,94655) = ( 94639 × 94655) / 1
LCM(94639,94655) = 8958054545 / 1
LCM(94639,94655) = 8958054545

Least Common Multiple (LCM) of 94639 and 94655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94639 and 94655. First we will calculate the prime factors of 94639 and 94655.

Prime Factorization of 94639

Prime factors of 94639 are 17, 19, 293. Prime factorization of 94639 in exponential form is:

94639 = 171 × 191 × 2931

Prime Factorization of 94655

Prime factors of 94655 are 5, 11, 1721. Prime factorization of 94655 in exponential form is:

94655 = 51 × 111 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 94639 and 94655.

LCM(94639,94655) = 171 × 191 × 2931 × 51 × 111 × 17211
LCM(94639,94655) = 8958054545