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What is the Least Common Multiple of 94548 and 94557?

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 94548 and 94557 is 2980058412.

LCM(94548,94557) = 2980058412

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Least Common Multiple of 94548 and 94557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94548 and 94557, than apply into the LCM equation.

GCF(94548,94557) = 3
LCM(94548,94557) = ( 94548 × 94557) / 3
LCM(94548,94557) = 8940175236 / 3
LCM(94548,94557) = 2980058412

Least Common Multiple (LCM) of 94548 and 94557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94548 and 94557. First we will calculate the prime factors of 94548 and 94557.

Prime Factorization of 94548

Prime factors of 94548 are 2, 3, 7879. Prime factorization of 94548 in exponential form is:

94548 = 22 × 31 × 78791

Prime Factorization of 94557

Prime factors of 94557 are 3, 43, 733. Prime factorization of 94557 in exponential form is:

94557 = 31 × 431 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 94548 and 94557.

LCM(94548,94557) = 22 × 31 × 78791 × 431 × 7331
LCM(94548,94557) = 2980058412