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What is the Least Common Multiple of 94859 and 94872?

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 94859 and 94872 is 8999463048.

LCM(94859,94872) = 8999463048

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Least Common Multiple of 94859 and 94872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94859 and 94872, than apply into the LCM equation.

GCF(94859,94872) = 1
LCM(94859,94872) = ( 94859 × 94872) / 1
LCM(94859,94872) = 8999463048 / 1
LCM(94859,94872) = 8999463048

Least Common Multiple (LCM) of 94859 and 94872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94859 and 94872. First we will calculate the prime factors of 94859 and 94872.

Prime Factorization of 94859

Prime factors of 94859 are 29, 3271. Prime factorization of 94859 in exponential form is:

94859 = 291 × 32711

Prime Factorization of 94872

Prime factors of 94872 are 2, 3, 59, 67. Prime factorization of 94872 in exponential form is:

94872 = 23 × 31 × 591 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 94859 and 94872.

LCM(94859,94872) = 291 × 32711 × 23 × 31 × 591 × 671
LCM(94859,94872) = 8999463048