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What is the Least Common Multiple of 94617 and 94623?

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 94617 and 94623 is 2984314797.

LCM(94617,94623) = 2984314797

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Least Common Multiple of 94617 and 94623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94617 and 94623, than apply into the LCM equation.

GCF(94617,94623) = 3
LCM(94617,94623) = ( 94617 × 94623) / 3
LCM(94617,94623) = 8952944391 / 3
LCM(94617,94623) = 2984314797

Least Common Multiple (LCM) of 94617 and 94623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94617 and 94623. First we will calculate the prime factors of 94617 and 94623.

Prime Factorization of 94617

Prime factors of 94617 are 3, 10513. Prime factorization of 94617 in exponential form is:

94617 = 32 × 105131

Prime Factorization of 94623

Prime factors of 94623 are 3, 31541. Prime factorization of 94623 in exponential form is:

94623 = 31 × 315411

Now multiplying the highest exponent prime factors to calculate the LCM of 94617 and 94623.

LCM(94617,94623) = 32 × 105131 × 315411
LCM(94617,94623) = 2984314797