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What is the Least Common Multiple of 94145 and 94149?

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 94145 and 94149 is 8863657605.

LCM(94145,94149) = 8863657605

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Least Common Multiple of 94145 and 94149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94145 and 94149, than apply into the LCM equation.

GCF(94145,94149) = 1
LCM(94145,94149) = ( 94145 × 94149) / 1
LCM(94145,94149) = 8863657605 / 1
LCM(94145,94149) = 8863657605

Least Common Multiple (LCM) of 94145 and 94149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94145 and 94149. First we will calculate the prime factors of 94145 and 94149.

Prime Factorization of 94145

Prime factors of 94145 are 5, 19, 991. Prime factorization of 94145 in exponential form is:

94145 = 51 × 191 × 9911

Prime Factorization of 94149

Prime factors of 94149 are 3, 11, 317. Prime factorization of 94149 in exponential form is:

94149 = 33 × 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 94145 and 94149.

LCM(94145,94149) = 51 × 191 × 9911 × 33 × 111 × 3171
LCM(94145,94149) = 8863657605