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What is the Least Common Multiple of 94012 and 94032?

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 94012 and 94032 is 2210034096.

LCM(94012,94032) = 2210034096

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Least Common Multiple of 94012 and 94032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94012 and 94032, than apply into the LCM equation.

GCF(94012,94032) = 4
LCM(94012,94032) = ( 94012 × 94032) / 4
LCM(94012,94032) = 8840136384 / 4
LCM(94012,94032) = 2210034096

Least Common Multiple (LCM) of 94012 and 94032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94012 and 94032. First we will calculate the prime factors of 94012 and 94032.

Prime Factorization of 94012

Prime factors of 94012 are 2, 19, 1237. Prime factorization of 94012 in exponential form is:

94012 = 22 × 191 × 12371

Prime Factorization of 94032

Prime factors of 94032 are 2, 3, 653. Prime factorization of 94032 in exponential form is:

94032 = 24 × 32 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 94012 and 94032.

LCM(94012,94032) = 24 × 191 × 12371 × 32 × 6531
LCM(94012,94032) = 2210034096