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What is the Least Common Multiple of 94851 and 94871?

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 94851 and 94871 is 8998609221.

LCM(94851,94871) = 8998609221

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Least Common Multiple of 94851 and 94871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94851 and 94871, than apply into the LCM equation.

GCF(94851,94871) = 1
LCM(94851,94871) = ( 94851 × 94871) / 1
LCM(94851,94871) = 8998609221 / 1
LCM(94851,94871) = 8998609221

Least Common Multiple (LCM) of 94851 and 94871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94851 and 94871. First we will calculate the prime factors of 94851 and 94871.

Prime Factorization of 94851

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

94851 = 34 × 11711

Prime Factorization of 94871

Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:

94871 = 71 × 135531

Now multiplying the highest exponent prime factors to calculate the LCM of 94851 and 94871.

LCM(94851,94871) = 34 × 11711 × 71 × 135531
LCM(94851,94871) = 8998609221