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What is the Least Common Multiple of 94155 and 94173?

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 94155 and 94173 is 2955619605.

LCM(94155,94173) = 2955619605

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Least Common Multiple of 94155 and 94173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94155 and 94173, than apply into the LCM equation.

GCF(94155,94173) = 3
LCM(94155,94173) = ( 94155 × 94173) / 3
LCM(94155,94173) = 8866858815 / 3
LCM(94155,94173) = 2955619605

Least Common Multiple (LCM) of 94155 and 94173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94155 and 94173. First we will calculate the prime factors of 94155 and 94173.

Prime Factorization of 94155

Prime factors of 94155 are 3, 5, 6277. Prime factorization of 94155 in exponential form is:

94155 = 31 × 51 × 62771

Prime Factorization of 94173

Prime factors of 94173 are 3, 31391. Prime factorization of 94173 in exponential form is:

94173 = 31 × 313911

Now multiplying the highest exponent prime factors to calculate the LCM of 94155 and 94173.

LCM(94155,94173) = 31 × 51 × 62771 × 313911
LCM(94155,94173) = 2955619605