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What is the Least Common Multiple of 94520 and 94537?

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 94520 and 94537 is 525625720.

LCM(94520,94537) = 525625720

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Least Common Multiple of 94520 and 94537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94520 and 94537, than apply into the LCM equation.

GCF(94520,94537) = 17
LCM(94520,94537) = ( 94520 × 94537) / 17
LCM(94520,94537) = 8935637240 / 17
LCM(94520,94537) = 525625720

Least Common Multiple (LCM) of 94520 and 94537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94520 and 94537. First we will calculate the prime factors of 94520 and 94537.

Prime Factorization of 94520

Prime factors of 94520 are 2, 5, 17, 139. Prime factorization of 94520 in exponential form is:

94520 = 23 × 51 × 171 × 1391

Prime Factorization of 94537

Prime factors of 94537 are 17, 67, 83. Prime factorization of 94537 in exponential form is:

94537 = 171 × 671 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 94520 and 94537.

LCM(94520,94537) = 23 × 51 × 171 × 1391 × 671 × 831
LCM(94520,94537) = 525625720