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What is the Least Common Multiple of 94443 and 94456?

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 94443 and 94456 is 8920708008.

LCM(94443,94456) = 8920708008

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Least Common Multiple of 94443 and 94456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94443 and 94456, than apply into the LCM equation.

GCF(94443,94456) = 1
LCM(94443,94456) = ( 94443 × 94456) / 1
LCM(94443,94456) = 8920708008 / 1
LCM(94443,94456) = 8920708008

Least Common Multiple (LCM) of 94443 and 94456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94443 and 94456. First we will calculate the prime factors of 94443 and 94456.

Prime Factorization of 94443

Prime factors of 94443 are 3, 31481. Prime factorization of 94443 in exponential form is:

94443 = 31 × 314811

Prime Factorization of 94456

Prime factors of 94456 are 2, 11807. Prime factorization of 94456 in exponential form is:

94456 = 23 × 118071

Now multiplying the highest exponent prime factors to calculate the LCM of 94443 and 94456.

LCM(94443,94456) = 31 × 314811 × 23 × 118071
LCM(94443,94456) = 8920708008