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What is the Least Common Multiple of 94844 and 94863?

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 94863 is 8997186372.

LCM(94844,94863) = 8997186372

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Least Common Multiple of 94844 and 94863 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 94863, than apply into the LCM equation.

GCF(94844,94863) = 1
LCM(94844,94863) = ( 94844 × 94863) / 1
LCM(94844,94863) = 8997186372 / 1
LCM(94844,94863) = 8997186372

Least Common Multiple (LCM) of 94844 and 94863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94844 and 94863. First we will calculate the prime factors of 94844 and 94863.

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 94863

Prime factors of 94863 are 3, 103, 307. Prime factorization of 94863 in exponential form is:

94863 = 31 × 1031 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 94844 and 94863.

LCM(94844,94863) = 22 × 1311 × 1811 × 31 × 1031 × 3071
LCM(94844,94863) = 8997186372