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What is the Least Common Multiple of 94621 and 94634?

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 94621 and 94634 is 8954363714.

LCM(94621,94634) = 8954363714

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Least Common Multiple of 94621 and 94634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94621 and 94634, than apply into the LCM equation.

GCF(94621,94634) = 1
LCM(94621,94634) = ( 94621 × 94634) / 1
LCM(94621,94634) = 8954363714 / 1
LCM(94621,94634) = 8954363714

Least Common Multiple (LCM) of 94621 and 94634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94621 and 94634. First we will calculate the prime factors of 94621 and 94634.

Prime Factorization of 94621

Prime factors of 94621 are 94621. Prime factorization of 94621 in exponential form is:

94621 = 946211

Prime Factorization of 94634

Prime factors of 94634 are 2, 47317. Prime factorization of 94634 in exponential form is:

94634 = 21 × 473171

Now multiplying the highest exponent prime factors to calculate the LCM of 94621 and 94634.

LCM(94621,94634) = 946211 × 21 × 473171
LCM(94621,94634) = 8954363714