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What is the Least Common Multiple of 92133 and 92151?

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 92133 and 92151 is 943349787.

LCM(92133,92151) = 943349787

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Least Common Multiple of 92133 and 92151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92133 and 92151, than apply into the LCM equation.

GCF(92133,92151) = 9
LCM(92133,92151) = ( 92133 × 92151) / 9
LCM(92133,92151) = 8490148083 / 9
LCM(92133,92151) = 943349787

Least Common Multiple (LCM) of 92133 and 92151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92133 and 92151. First we will calculate the prime factors of 92133 and 92151.

Prime Factorization of 92133

Prime factors of 92133 are 3, 29, 353. Prime factorization of 92133 in exponential form is:

92133 = 32 × 291 × 3531

Prime Factorization of 92151

Prime factors of 92151 are 3, 3413. Prime factorization of 92151 in exponential form is:

92151 = 33 × 34131

Now multiplying the highest exponent prime factors to calculate the LCM of 92133 and 92151.

LCM(92133,92151) = 33 × 291 × 3531 × 34131
LCM(92133,92151) = 943349787