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What is the Least Common Multiple of 94660 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 94660 and 94664 is 2240223560.

LCM(94660,94664) = 2240223560

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Least Common Multiple of 94660 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 94660 and 94664, than apply into the LCM equation.

GCF(94660,94664) = 4
LCM(94660,94664) = ( 94660 × 94664) / 4
LCM(94660,94664) = 8960894240 / 4
LCM(94660,94664) = 2240223560

Least Common Multiple (LCM) of 94660 and 94664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94660 and 94664. First we will calculate the prime factors of 94660 and 94664.

Prime Factorization of 94660

Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:

94660 = 22 × 51 × 47331

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 94660 and 94664.

LCM(94660,94664) = 23 × 51 × 47331 × 118331
LCM(94660,94664) = 2240223560