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What is the Least Common Multiple of 94870 and 94884?

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 94870 and 94884 is 4500822540.

LCM(94870,94884) = 4500822540

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Least Common Multiple of 94870 and 94884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94870 and 94884, than apply into the LCM equation.

GCF(94870,94884) = 2
LCM(94870,94884) = ( 94870 × 94884) / 2
LCM(94870,94884) = 9001645080 / 2
LCM(94870,94884) = 4500822540

Least Common Multiple (LCM) of 94870 and 94884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94870 and 94884. First we will calculate the prime factors of 94870 and 94884.

Prime Factorization of 94870

Prime factors of 94870 are 2, 5, 53, 179. Prime factorization of 94870 in exponential form is:

94870 = 21 × 51 × 531 × 1791

Prime Factorization of 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 22 × 31 × 79071

Now multiplying the highest exponent prime factors to calculate the LCM of 94870 and 94884.

LCM(94870,94884) = 22 × 51 × 531 × 1791 × 31 × 79071
LCM(94870,94884) = 4500822540