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What is the Least Common Multiple of 94635 and 94642?

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 94635 and 94642 is 8956445670.

LCM(94635,94642) = 8956445670

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Least Common Multiple of 94635 and 94642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94635 and 94642, than apply into the LCM equation.

GCF(94635,94642) = 1
LCM(94635,94642) = ( 94635 × 94642) / 1
LCM(94635,94642) = 8956445670 / 1
LCM(94635,94642) = 8956445670

Least Common Multiple (LCM) of 94635 and 94642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94635 and 94642. First we will calculate the prime factors of 94635 and 94642.

Prime Factorization of 94635

Prime factors of 94635 are 3, 5, 701. Prime factorization of 94635 in exponential form is:

94635 = 33 × 51 × 7011

Prime Factorization of 94642

Prime factors of 94642 are 2, 79, 599. Prime factorization of 94642 in exponential form is:

94642 = 21 × 791 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 94635 and 94642.

LCM(94635,94642) = 33 × 51 × 7011 × 21 × 791 × 5991
LCM(94635,94642) = 8956445670