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What is the Least Common Multiple of 94016 and 94027?

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 94016 and 94027 is 8840042432.

LCM(94016,94027) = 8840042432

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Least Common Multiple of 94016 and 94027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94016 and 94027, than apply into the LCM equation.

GCF(94016,94027) = 1
LCM(94016,94027) = ( 94016 × 94027) / 1
LCM(94016,94027) = 8840042432 / 1
LCM(94016,94027) = 8840042432

Least Common Multiple (LCM) of 94016 and 94027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94016 and 94027. First we will calculate the prime factors of 94016 and 94027.

Prime Factorization of 94016

Prime factors of 94016 are 2, 13, 113. Prime factorization of 94016 in exponential form is:

94016 = 26 × 131 × 1131

Prime Factorization of 94027

Prime factors of 94027 are 17, 5531. Prime factorization of 94027 in exponential form is:

94027 = 171 × 55311

Now multiplying the highest exponent prime factors to calculate the LCM of 94016 and 94027.

LCM(94016,94027) = 26 × 131 × 1131 × 171 × 55311
LCM(94016,94027) = 8840042432