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What is the Least Common Multiple of 94728 and 94748?

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 94728 and 94748 is 2243822136.

LCM(94728,94748) = 2243822136

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Least Common Multiple of 94728 and 94748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94728 and 94748, than apply into the LCM equation.

GCF(94728,94748) = 4
LCM(94728,94748) = ( 94728 × 94748) / 4
LCM(94728,94748) = 8975288544 / 4
LCM(94728,94748) = 2243822136

Least Common Multiple (LCM) of 94728 and 94748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94728 and 94748. First we will calculate the prime factors of 94728 and 94748.

Prime Factorization of 94728

Prime factors of 94728 are 2, 3, 3947. Prime factorization of 94728 in exponential form is:

94728 = 23 × 31 × 39471

Prime Factorization of 94748

Prime factors of 94748 are 2, 23687. Prime factorization of 94748 in exponential form is:

94748 = 22 × 236871

Now multiplying the highest exponent prime factors to calculate the LCM of 94728 and 94748.

LCM(94728,94748) = 23 × 31 × 39471 × 236871
LCM(94728,94748) = 2243822136