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What is the Least Common Multiple of 94440 and 94451?

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 94440 and 94451 is 8919952440.

LCM(94440,94451) = 8919952440

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Least Common Multiple of 94440 and 94451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94440 and 94451, than apply into the LCM equation.

GCF(94440,94451) = 1
LCM(94440,94451) = ( 94440 × 94451) / 1
LCM(94440,94451) = 8919952440 / 1
LCM(94440,94451) = 8919952440

Least Common Multiple (LCM) of 94440 and 94451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94440 and 94451. First we will calculate the prime factors of 94440 and 94451.

Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 23 × 31 × 51 × 7871

Prime Factorization of 94451

Prime factors of 94451 are 7, 103, 131. Prime factorization of 94451 in exponential form is:

94451 = 71 × 1031 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 94440 and 94451.

LCM(94440,94451) = 23 × 31 × 51 × 7871 × 71 × 1031 × 1311
LCM(94440,94451) = 8919952440