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What is the Least Common Multiple of 94517 and 94534?

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 94517 and 94534 is 8935070078.

LCM(94517,94534) = 8935070078

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Least Common Multiple of 94517 and 94534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94517 and 94534, than apply into the LCM equation.

GCF(94517,94534) = 1
LCM(94517,94534) = ( 94517 × 94534) / 1
LCM(94517,94534) = 8935070078 / 1
LCM(94517,94534) = 8935070078

Least Common Multiple (LCM) of 94517 and 94534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94517 and 94534. First we will calculate the prime factors of 94517 and 94534.

Prime Factorization of 94517

Prime factors of 94517 are 47, 2011. Prime factorization of 94517 in exponential form is:

94517 = 471 × 20111

Prime Factorization of 94534

Prime factors of 94534 are 2, 11, 4297. Prime factorization of 94534 in exponential form is:

94534 = 21 × 111 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 94517 and 94534.

LCM(94517,94534) = 471 × 20111 × 21 × 111 × 42971
LCM(94517,94534) = 8935070078