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What is the Least Common Multiple of 94581 and 94600?

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 94581 and 94600 is 8947362600.

LCM(94581,94600) = 8947362600

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Least Common Multiple of 94581 and 94600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94581 and 94600, than apply into the LCM equation.

GCF(94581,94600) = 1
LCM(94581,94600) = ( 94581 × 94600) / 1
LCM(94581,94600) = 8947362600 / 1
LCM(94581,94600) = 8947362600

Least Common Multiple (LCM) of 94581 and 94600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94581 and 94600. First we will calculate the prime factors of 94581 and 94600.

Prime Factorization of 94581

Prime factors of 94581 are 3, 31, 113. Prime factorization of 94581 in exponential form is:

94581 = 33 × 311 × 1131

Prime Factorization of 94600

Prime factors of 94600 are 2, 5, 11, 43. Prime factorization of 94600 in exponential form is:

94600 = 23 × 52 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 94581 and 94600.

LCM(94581,94600) = 33 × 311 × 1131 × 23 × 52 × 111 × 431
LCM(94581,94600) = 8947362600