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What is the Least Common Multiple of 43124 and 43141?

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 43124 and 43141 is 1860412484.

LCM(43124,43141) = 1860412484

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Least Common Multiple of 43124 and 43141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43124 and 43141, than apply into the LCM equation.

GCF(43124,43141) = 1
LCM(43124,43141) = ( 43124 × 43141) / 1
LCM(43124,43141) = 1860412484 / 1
LCM(43124,43141) = 1860412484

Least Common Multiple (LCM) of 43124 and 43141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43124 and 43141. First we will calculate the prime factors of 43124 and 43141.

Prime Factorization of 43124

Prime factors of 43124 are 2, 10781. Prime factorization of 43124 in exponential form is:

43124 = 22 × 107811

Prime Factorization of 43141

Prime factors of 43141 are 7, 6163. Prime factorization of 43141 in exponential form is:

43141 = 71 × 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 43124 and 43141.

LCM(43124,43141) = 22 × 107811 × 71 × 61631
LCM(43124,43141) = 1860412484