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What is the Least Common Multiple of 94813 and 94832?

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 94813 and 94832 is 8991306416.

LCM(94813,94832) = 8991306416

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Least Common Multiple of 94813 and 94832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94813 and 94832, than apply into the LCM equation.

GCF(94813,94832) = 1
LCM(94813,94832) = ( 94813 × 94832) / 1
LCM(94813,94832) = 8991306416 / 1
LCM(94813,94832) = 8991306416

Least Common Multiple (LCM) of 94813 and 94832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94813 and 94832. First we will calculate the prime factors of 94813 and 94832.

Prime Factorization of 94813

Prime factors of 94813 are 59, 1607. Prime factorization of 94813 in exponential form is:

94813 = 591 × 16071

Prime Factorization of 94832

Prime factors of 94832 are 2, 5927. Prime factorization of 94832 in exponential form is:

94832 = 24 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 94813 and 94832.

LCM(94813,94832) = 591 × 16071 × 24 × 59271
LCM(94813,94832) = 8991306416