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What is the Least Common Multiple of 84124 and 84141?

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 84124 and 84141 is 7078277484.

LCM(84124,84141) = 7078277484

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Least Common Multiple of 84124 and 84141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84124 and 84141, than apply into the LCM equation.

GCF(84124,84141) = 1
LCM(84124,84141) = ( 84124 × 84141) / 1
LCM(84124,84141) = 7078277484 / 1
LCM(84124,84141) = 7078277484

Least Common Multiple (LCM) of 84124 and 84141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84124 and 84141. First we will calculate the prime factors of 84124 and 84141.

Prime Factorization of 84124

Prime factors of 84124 are 2, 21031. Prime factorization of 84124 in exponential form is:

84124 = 22 × 210311

Prime Factorization of 84141

Prime factors of 84141 are 3, 9349. Prime factorization of 84141 in exponential form is:

84141 = 32 × 93491

Now multiplying the highest exponent prime factors to calculate the LCM of 84124 and 84141.

LCM(84124,84141) = 22 × 210311 × 32 × 93491
LCM(84124,84141) = 7078277484