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What is the Least Common Multiple of 94874 and 94879?

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 94874 and 94879 is 9001550246.

LCM(94874,94879) = 9001550246

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Least Common Multiple of 94874 and 94879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94874 and 94879, than apply into the LCM equation.

GCF(94874,94879) = 1
LCM(94874,94879) = ( 94874 × 94879) / 1
LCM(94874,94879) = 9001550246 / 1
LCM(94874,94879) = 9001550246

Least Common Multiple (LCM) of 94874 and 94879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94874 and 94879. First we will calculate the prime factors of 94874 and 94879.

Prime Factorization of 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 21 × 131 × 411 × 891

Prime Factorization of 94879

Prime factors of 94879 are 79, 1201. Prime factorization of 94879 in exponential form is:

94879 = 791 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 94874 and 94879.

LCM(94874,94879) = 21 × 131 × 411 × 891 × 791 × 12011
LCM(94874,94879) = 9001550246