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What is the Least Common Multiple of 94968 and 94972?

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 94968 and 94972 is 2254825224.

LCM(94968,94972) = 2254825224

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Least Common Multiple of 94968 and 94972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94968 and 94972, than apply into the LCM equation.

GCF(94968,94972) = 4
LCM(94968,94972) = ( 94968 × 94972) / 4
LCM(94968,94972) = 9019300896 / 4
LCM(94968,94972) = 2254825224

Least Common Multiple (LCM) of 94968 and 94972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94968 and 94972. First we will calculate the prime factors of 94968 and 94972.

Prime Factorization of 94968

Prime factors of 94968 are 2, 3, 1319. Prime factorization of 94968 in exponential form is:

94968 = 23 × 32 × 13191

Prime Factorization of 94972

Prime factors of 94972 are 2, 23743. Prime factorization of 94972 in exponential form is:

94972 = 22 × 237431

Now multiplying the highest exponent prime factors to calculate the LCM of 94968 and 94972.

LCM(94968,94972) = 23 × 32 × 13191 × 237431
LCM(94968,94972) = 2254825224