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What is the Least Common Multiple of 94740 and 94756?

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 94740 and 94756 is 2244295860.

LCM(94740,94756) = 2244295860

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Least Common Multiple of 94740 and 94756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94740 and 94756, than apply into the LCM equation.

GCF(94740,94756) = 4
LCM(94740,94756) = ( 94740 × 94756) / 4
LCM(94740,94756) = 8977183440 / 4
LCM(94740,94756) = 2244295860

Least Common Multiple (LCM) of 94740 and 94756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94740 and 94756. First we will calculate the prime factors of 94740 and 94756.

Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 22 × 31 × 51 × 15791

Prime Factorization of 94756

Prime factors of 94756 are 2, 23689. Prime factorization of 94756 in exponential form is:

94756 = 22 × 236891

Now multiplying the highest exponent prime factors to calculate the LCM of 94740 and 94756.

LCM(94740,94756) = 22 × 31 × 51 × 15791 × 236891
LCM(94740,94756) = 2244295860