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What is the Least Common Multiple of 94158 and 94169?

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 94158 and 94169 is 8866764702.

LCM(94158,94169) = 8866764702

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Least Common Multiple of 94158 and 94169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94158 and 94169, than apply into the LCM equation.

GCF(94158,94169) = 1
LCM(94158,94169) = ( 94158 × 94169) / 1
LCM(94158,94169) = 8866764702 / 1
LCM(94158,94169) = 8866764702

Least Common Multiple (LCM) of 94158 and 94169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94158 and 94169. First we will calculate the prime factors of 94158 and 94169.

Prime Factorization of 94158

Prime factors of 94158 are 2, 3, 5231. Prime factorization of 94158 in exponential form is:

94158 = 21 × 32 × 52311

Prime Factorization of 94169

Prime factors of 94169 are 94169. Prime factorization of 94169 in exponential form is:

94169 = 941691

Now multiplying the highest exponent prime factors to calculate the LCM of 94158 and 94169.

LCM(94158,94169) = 21 × 32 × 52311 × 941691
LCM(94158,94169) = 8866764702