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What is the Least Common Multiple of 94653 and 94664?

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 94653 and 94664 is 8960231592.

LCM(94653,94664) = 8960231592

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Least Common Multiple of 94653 and 94664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94653 and 94664, than apply into the LCM equation.

GCF(94653,94664) = 1
LCM(94653,94664) = ( 94653 × 94664) / 1
LCM(94653,94664) = 8960231592 / 1
LCM(94653,94664) = 8960231592

Least Common Multiple (LCM) of 94653 and 94664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94653 and 94664. First we will calculate the prime factors of 94653 and 94664.

Prime Factorization of 94653

Prime factors of 94653 are 3, 13, 809. Prime factorization of 94653 in exponential form is:

94653 = 32 × 131 × 8091

Prime Factorization of 94664

Prime factors of 94664 are 2, 11833. Prime factorization of 94664 in exponential form is:

94664 = 23 × 118331

Now multiplying the highest exponent prime factors to calculate the LCM of 94653 and 94664.

LCM(94653,94664) = 32 × 131 × 8091 × 23 × 118331
LCM(94653,94664) = 8960231592