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What is the Least Common Multiple of 94564 and 94577?

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 94564 and 94577 is 8943579428.

LCM(94564,94577) = 8943579428

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Least Common Multiple of 94564 and 94577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94564 and 94577, than apply into the LCM equation.

GCF(94564,94577) = 1
LCM(94564,94577) = ( 94564 × 94577) / 1
LCM(94564,94577) = 8943579428 / 1
LCM(94564,94577) = 8943579428

Least Common Multiple (LCM) of 94564 and 94577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94564 and 94577. First we will calculate the prime factors of 94564 and 94577.

Prime Factorization of 94564

Prime factors of 94564 are 2, 47, 503. Prime factorization of 94564 in exponential form is:

94564 = 22 × 471 × 5031

Prime Factorization of 94577

Prime factors of 94577 are 7, 59, 229. Prime factorization of 94577 in exponential form is:

94577 = 71 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 94564 and 94577.

LCM(94564,94577) = 22 × 471 × 5031 × 71 × 591 × 2291
LCM(94564,94577) = 8943579428