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What is the Least Common Multiple of 94806 and 94825?

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 94806 and 94825 is 8989978950.

LCM(94806,94825) = 8989978950

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Least Common Multiple of 94806 and 94825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94806 and 94825, than apply into the LCM equation.

GCF(94806,94825) = 1
LCM(94806,94825) = ( 94806 × 94825) / 1
LCM(94806,94825) = 8989978950 / 1
LCM(94806,94825) = 8989978950

Least Common Multiple (LCM) of 94806 and 94825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94806 and 94825. First we will calculate the prime factors of 94806 and 94825.

Prime Factorization of 94806

Prime factors of 94806 are 2, 3, 23, 229. Prime factorization of 94806 in exponential form is:

94806 = 21 × 32 × 231 × 2291

Prime Factorization of 94825

Prime factors of 94825 are 5, 3793. Prime factorization of 94825 in exponential form is:

94825 = 52 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 94806 and 94825.

LCM(94806,94825) = 21 × 32 × 231 × 2291 × 52 × 37931
LCM(94806,94825) = 8989978950