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What is the Least Common Multiple of 94521 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 94521 and 94537 is 8935731777.

LCM(94521,94537) = 8935731777

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Least Common Multiple of 94521 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 94521 and 94537, than apply into the LCM equation.

GCF(94521,94537) = 1
LCM(94521,94537) = ( 94521 × 94537) / 1
LCM(94521,94537) = 8935731777 / 1
LCM(94521,94537) = 8935731777

Least Common Multiple (LCM) of 94521 and 94537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94521 and 94537. First we will calculate the prime factors of 94521 and 94537.

Prime Factorization of 94521

Prime factors of 94521 are 3, 7, 643. Prime factorization of 94521 in exponential form is:

94521 = 31 × 72 × 6431

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 94521 and 94537.

LCM(94521,94537) = 31 × 72 × 6431 × 171 × 671 × 831
LCM(94521,94537) = 8935731777