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What is the Least Common Multiple of 94743 and 94755?

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 94743 and 94755 is 2992457655.

LCM(94743,94755) = 2992457655

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Least Common Multiple of 94743 and 94755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94743 and 94755, than apply into the LCM equation.

GCF(94743,94755) = 3
LCM(94743,94755) = ( 94743 × 94755) / 3
LCM(94743,94755) = 8977372965 / 3
LCM(94743,94755) = 2992457655

Least Common Multiple (LCM) of 94743 and 94755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94743 and 94755. First we will calculate the prime factors of 94743 and 94755.

Prime Factorization of 94743

Prime factors of 94743 are 3, 11, 29. Prime factorization of 94743 in exponential form is:

94743 = 33 × 112 × 291

Prime Factorization of 94755

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

94755 = 31 × 51 × 63171

Now multiplying the highest exponent prime factors to calculate the LCM of 94743 and 94755.

LCM(94743,94755) = 33 × 112 × 291 × 51 × 63171
LCM(94743,94755) = 2992457655