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What is the Least Common Multiple of 94892 and 94902?

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 94892 and 94902 is 4502720292.

LCM(94892,94902) = 4502720292

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Least Common Multiple of 94892 and 94902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94892 and 94902, than apply into the LCM equation.

GCF(94892,94902) = 2
LCM(94892,94902) = ( 94892 × 94902) / 2
LCM(94892,94902) = 9005440584 / 2
LCM(94892,94902) = 4502720292

Least Common Multiple (LCM) of 94892 and 94902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94892 and 94902. First we will calculate the prime factors of 94892 and 94902.

Prime Factorization of 94892

Prime factors of 94892 are 2, 7, 3389. Prime factorization of 94892 in exponential form is:

94892 = 22 × 71 × 33891

Prime Factorization of 94902

Prime factors of 94902 are 2, 3, 15817. Prime factorization of 94902 in exponential form is:

94902 = 21 × 31 × 158171

Now multiplying the highest exponent prime factors to calculate the LCM of 94892 and 94902.

LCM(94892,94902) = 22 × 71 × 33891 × 31 × 158171
LCM(94892,94902) = 4502720292