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What is the Least Common Multiple of 94635 and 94641?

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 94641 is 2985450345.

LCM(94635,94641) = 2985450345

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Least Common Multiple of 94635 and 94641 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 94641, than apply into the LCM equation.

GCF(94635,94641) = 3
LCM(94635,94641) = ( 94635 × 94641) / 3
LCM(94635,94641) = 8956351035 / 3
LCM(94635,94641) = 2985450345

Least Common Multiple (LCM) of 94635 and 94641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94635 and 94641. First we will calculate the prime factors of 94635 and 94641.

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 94641

Prime factors of 94641 are 3, 31547. Prime factorization of 94641 in exponential form is:

94641 = 31 × 315471

Now multiplying the highest exponent prime factors to calculate the LCM of 94635 and 94641.

LCM(94635,94641) = 33 × 51 × 7011 × 315471
LCM(94635,94641) = 2985450345