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What is the Least Common Multiple of 84127 and 84139?

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 84127 and 84139 is 7078361653.

LCM(84127,84139) = 7078361653

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Least Common Multiple of 84127 and 84139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84127 and 84139, than apply into the LCM equation.

GCF(84127,84139) = 1
LCM(84127,84139) = ( 84127 × 84139) / 1
LCM(84127,84139) = 7078361653 / 1
LCM(84127,84139) = 7078361653

Least Common Multiple (LCM) of 84127 and 84139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84127 and 84139. First we will calculate the prime factors of 84127 and 84139.

Prime Factorization of 84127

Prime factors of 84127 are 84127. Prime factorization of 84127 in exponential form is:

84127 = 841271

Prime Factorization of 84139

Prime factors of 84139 are 11, 7649. Prime factorization of 84139 in exponential form is:

84139 = 111 × 76491

Now multiplying the highest exponent prime factors to calculate the LCM of 84127 and 84139.

LCM(84127,84139) = 841271 × 111 × 76491
LCM(84127,84139) = 7078361653