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What is the Least Common Multiple of 94648 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 94648 and 94660 is 2239844920.

LCM(94648,94660) = 2239844920

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Least Common Multiple of 94648 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 94648 and 94660, than apply into the LCM equation.

GCF(94648,94660) = 4
LCM(94648,94660) = ( 94648 × 94660) / 4
LCM(94648,94660) = 8959379680 / 4
LCM(94648,94660) = 2239844920

Least Common Multiple (LCM) of 94648 and 94660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94648 and 94660. First we will calculate the prime factors of 94648 and 94660.

Prime Factorization of 94648

Prime factors of 94648 are 2, 11831. Prime factorization of 94648 in exponential form is:

94648 = 23 × 118311

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 94648 and 94660.

LCM(94648,94660) = 23 × 118311 × 51 × 47331
LCM(94648,94660) = 2239844920