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What is the Least Common Multiple of 94558 and 94564?

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 94558 and 94564 is 4470891356.

LCM(94558,94564) = 4470891356

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Least Common Multiple of 94558 and 94564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94558 and 94564, than apply into the LCM equation.

GCF(94558,94564) = 2
LCM(94558,94564) = ( 94558 × 94564) / 2
LCM(94558,94564) = 8941782712 / 2
LCM(94558,94564) = 4470891356

Least Common Multiple (LCM) of 94558 and 94564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94558 and 94564. First we will calculate the prime factors of 94558 and 94564.

Prime Factorization of 94558

Prime factors of 94558 are 2, 47279. Prime factorization of 94558 in exponential form is:

94558 = 21 × 472791

Prime Factorization of 94564

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

94564 = 22 × 471 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 94558 and 94564.

LCM(94558,94564) = 22 × 472791 × 471 × 5031
LCM(94558,94564) = 4470891356