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What is the Least Common Multiple of 94844 and 94854?

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 94854 is 4498166388.

LCM(94844,94854) = 4498166388

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Least Common Multiple of 94844 and 94854 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 94854, than apply into the LCM equation.

GCF(94844,94854) = 2
LCM(94844,94854) = ( 94844 × 94854) / 2
LCM(94844,94854) = 8996332776 / 2
LCM(94844,94854) = 4498166388

Least Common Multiple (LCM) of 94844 and 94854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94844 and 94854. First we will calculate the prime factors of 94844 and 94854.

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 94854

Prime factors of 94854 are 2, 3, 15809. Prime factorization of 94854 in exponential form is:

94854 = 21 × 31 × 158091

Now multiplying the highest exponent prime factors to calculate the LCM of 94844 and 94854.

LCM(94844,94854) = 22 × 1311 × 1811 × 31 × 158091
LCM(94844,94854) = 4498166388