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What is the Least Common Multiple of 94650 and 94660?

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 94650 and 94660 is 895956900.

LCM(94650,94660) = 895956900

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Least Common Multiple of 94650 and 94660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94650 and 94660, than apply into the LCM equation.

GCF(94650,94660) = 10
LCM(94650,94660) = ( 94650 × 94660) / 10
LCM(94650,94660) = 8959569000 / 10
LCM(94650,94660) = 895956900

Least Common Multiple (LCM) of 94650 and 94660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94650 and 94660. First we will calculate the prime factors of 94650 and 94660.

Prime Factorization of 94650

Prime factors of 94650 are 2, 3, 5, 631. Prime factorization of 94650 in exponential form is:

94650 = 21 × 31 × 52 × 6311

Prime Factorization of 94660

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

94660 = 22 × 51 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 94650 and 94660.

LCM(94650,94660) = 22 × 31 × 52 × 6311 × 47331
LCM(94650,94660) = 895956900