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What is the Least Common Multiple of 83107 and 83114?

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 83107 and 83114 is 6907355198.

LCM(83107,83114) = 6907355198

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Least Common Multiple of 83107 and 83114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83107 and 83114, than apply into the LCM equation.

GCF(83107,83114) = 1
LCM(83107,83114) = ( 83107 × 83114) / 1
LCM(83107,83114) = 6907355198 / 1
LCM(83107,83114) = 6907355198

Least Common Multiple (LCM) of 83107 and 83114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83107 and 83114. First we will calculate the prime factors of 83107 and 83114.

Prime Factorization of 83107

Prime factors of 83107 are 41, 2027. Prime factorization of 83107 in exponential form is:

83107 = 411 × 20271

Prime Factorization of 83114

Prime factors of 83114 are 2, 29, 1433. Prime factorization of 83114 in exponential form is:

83114 = 21 × 291 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 83107 and 83114.

LCM(83107,83114) = 411 × 20271 × 21 × 291 × 14331
LCM(83107,83114) = 6907355198