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What is the Least Common Multiple of 94491 and 94495?

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 94491 and 94495 is 8928927045.

LCM(94491,94495) = 8928927045

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Least Common Multiple of 94491 and 94495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94491 and 94495, than apply into the LCM equation.

GCF(94491,94495) = 1
LCM(94491,94495) = ( 94491 × 94495) / 1
LCM(94491,94495) = 8928927045 / 1
LCM(94491,94495) = 8928927045

Least Common Multiple (LCM) of 94491 and 94495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94491 and 94495. First we will calculate the prime factors of 94491 and 94495.

Prime Factorization of 94491

Prime factors of 94491 are 3, 10499. Prime factorization of 94491 in exponential form is:

94491 = 32 × 104991

Prime Factorization of 94495

Prime factors of 94495 are 5, 18899. Prime factorization of 94495 in exponential form is:

94495 = 51 × 188991

Now multiplying the highest exponent prime factors to calculate the LCM of 94491 and 94495.

LCM(94491,94495) = 32 × 104991 × 51 × 188991
LCM(94491,94495) = 8928927045