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What is the Least Common Multiple of 94755 and 94768?

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 94755 and 94768 is 8979741840.

LCM(94755,94768) = 8979741840

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Least Common Multiple of 94755 and 94768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94755 and 94768, than apply into the LCM equation.

GCF(94755,94768) = 1
LCM(94755,94768) = ( 94755 × 94768) / 1
LCM(94755,94768) = 8979741840 / 1
LCM(94755,94768) = 8979741840

Least Common Multiple (LCM) of 94755 and 94768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94755 and 94768. First we will calculate the prime factors of 94755 and 94768.

Prime Factorization of 94755

Prime factors of 94755 are 3, 5, 6317. Prime factorization of 94755 in exponential form is:

94755 = 31 × 51 × 63171

Prime Factorization of 94768

Prime factors of 94768 are 2, 5923. Prime factorization of 94768 in exponential form is:

94768 = 24 × 59231

Now multiplying the highest exponent prime factors to calculate the LCM of 94755 and 94768.

LCM(94755,94768) = 31 × 51 × 63171 × 24 × 59231
LCM(94755,94768) = 8979741840