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What is the Least Common Multiple of 94501 and 94512?

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 94501 and 94512 is 811952592.

LCM(94501,94512) = 811952592

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Least Common Multiple of 94501 and 94512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94501 and 94512, than apply into the LCM equation.

GCF(94501,94512) = 11
LCM(94501,94512) = ( 94501 × 94512) / 11
LCM(94501,94512) = 8931478512 / 11
LCM(94501,94512) = 811952592

Least Common Multiple (LCM) of 94501 and 94512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94501 and 94512. First we will calculate the prime factors of 94501 and 94512.

Prime Factorization of 94501

Prime factors of 94501 are 11, 71. Prime factorization of 94501 in exponential form is:

94501 = 113 × 711

Prime Factorization of 94512

Prime factors of 94512 are 2, 3, 11, 179. Prime factorization of 94512 in exponential form is:

94512 = 24 × 31 × 111 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 94501 and 94512.

LCM(94501,94512) = 113 × 711 × 24 × 31 × 1791
LCM(94501,94512) = 811952592