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What is the Least Common Multiple of 94808 and 94813?

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 94808 and 94813 is 8989030904.

LCM(94808,94813) = 8989030904

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Least Common Multiple of 94808 and 94813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94808 and 94813, than apply into the LCM equation.

GCF(94808,94813) = 1
LCM(94808,94813) = ( 94808 × 94813) / 1
LCM(94808,94813) = 8989030904 / 1
LCM(94808,94813) = 8989030904

Least Common Multiple (LCM) of 94808 and 94813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94808 and 94813. First we will calculate the prime factors of 94808 and 94813.

Prime Factorization of 94808

Prime factors of 94808 are 2, 7, 1693. Prime factorization of 94808 in exponential form is:

94808 = 23 × 71 × 16931

Prime Factorization of 94813

Prime factors of 94813 are 59, 1607. Prime factorization of 94813 in exponential form is:

94813 = 591 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 94808 and 94813.

LCM(94808,94813) = 23 × 71 × 16931 × 591 × 16071
LCM(94808,94813) = 8989030904