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What is the Least Common Multiple of 92124 and 92141?

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 92124 and 92141 is 8488397484.

LCM(92124,92141) = 8488397484

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Least Common Multiple of 92124 and 92141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92124 and 92141, than apply into the LCM equation.

GCF(92124,92141) = 1
LCM(92124,92141) = ( 92124 × 92141) / 1
LCM(92124,92141) = 8488397484 / 1
LCM(92124,92141) = 8488397484

Least Common Multiple (LCM) of 92124 and 92141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92124 and 92141. First we will calculate the prime factors of 92124 and 92141.

Prime Factorization of 92124

Prime factors of 92124 are 2, 3, 853. Prime factorization of 92124 in exponential form is:

92124 = 22 × 33 × 8531

Prime Factorization of 92141

Prime factors of 92141 are 7, 13163. Prime factorization of 92141 in exponential form is:

92141 = 71 × 131631

Now multiplying the highest exponent prime factors to calculate the LCM of 92124 and 92141.

LCM(92124,92141) = 22 × 33 × 8531 × 71 × 131631
LCM(92124,92141) = 8488397484