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What is the Least Common Multiple of 94116 and 94129?

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 94116 and 94129 is 8859044964.

LCM(94116,94129) = 8859044964

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Least Common Multiple of 94116 and 94129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94116 and 94129, than apply into the LCM equation.

GCF(94116,94129) = 1
LCM(94116,94129) = ( 94116 × 94129) / 1
LCM(94116,94129) = 8859044964 / 1
LCM(94116,94129) = 8859044964

Least Common Multiple (LCM) of 94116 and 94129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94116 and 94129. First we will calculate the prime factors of 94116 and 94129.

Prime Factorization of 94116

Prime factors of 94116 are 2, 3, 11, 23, 31. Prime factorization of 94116 in exponential form is:

94116 = 22 × 31 × 111 × 231 × 311

Prime Factorization of 94129

Prime factors of 94129 are 7, 17, 113. Prime factorization of 94129 in exponential form is:

94129 = 72 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 94116 and 94129.

LCM(94116,94129) = 22 × 31 × 111 × 231 × 311 × 72 × 171 × 1131
LCM(94116,94129) = 8859044964