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What is the Least Common Multiple of 94884 and 94895?

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 94884 and 94895 is 9004017180.

LCM(94884,94895) = 9004017180

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Least Common Multiple of 94884 and 94895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94884 and 94895, than apply into the LCM equation.

GCF(94884,94895) = 1
LCM(94884,94895) = ( 94884 × 94895) / 1
LCM(94884,94895) = 9004017180 / 1
LCM(94884,94895) = 9004017180

Least Common Multiple (LCM) of 94884 and 94895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94884 and 94895. First we will calculate the prime factors of 94884 and 94895.

Prime Factorization of 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 22 × 31 × 79071

Prime Factorization of 94895

Prime factors of 94895 are 5, 18979. Prime factorization of 94895 in exponential form is:

94895 = 51 × 189791

Now multiplying the highest exponent prime factors to calculate the LCM of 94884 and 94895.

LCM(94884,94895) = 22 × 31 × 79071 × 51 × 189791
LCM(94884,94895) = 9004017180