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What is the Least Common Multiple of 94844 and 94851?

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 94844 and 94851 is 8996048244.

LCM(94844,94851) = 8996048244

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Least Common Multiple of 94844 and 94851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94844 and 94851, than apply into the LCM equation.

GCF(94844,94851) = 1
LCM(94844,94851) = ( 94844 × 94851) / 1
LCM(94844,94851) = 8996048244 / 1
LCM(94844,94851) = 8996048244

Least Common Multiple (LCM) of 94844 and 94851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94844 and 94851. First we will calculate the prime factors of 94844 and 94851.

Prime Factorization of 94844

Prime factors of 94844 are 2, 131, 181. Prime factorization of 94844 in exponential form is:

94844 = 22 × 1311 × 1811

Prime Factorization of 94851

Prime factors of 94851 are 3, 1171. Prime factorization of 94851 in exponential form is:

94851 = 34 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 94844 and 94851.

LCM(94844,94851) = 22 × 1311 × 1811 × 34 × 11711
LCM(94844,94851) = 8996048244