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What is the Least Common Multiple of 28129 and 28140?

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 28129 and 28140 is 791550060.

LCM(28129,28140) = 791550060

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Least Common Multiple of 28129 and 28140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28129 and 28140, than apply into the LCM equation.

GCF(28129,28140) = 1
LCM(28129,28140) = ( 28129 × 28140) / 1
LCM(28129,28140) = 791550060 / 1
LCM(28129,28140) = 791550060

Least Common Multiple (LCM) of 28129 and 28140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28129 and 28140. First we will calculate the prime factors of 28129 and 28140.

Prime Factorization of 28129

Prime factors of 28129 are 23, 1223. Prime factorization of 28129 in exponential form is:

28129 = 231 × 12231

Prime Factorization of 28140

Prime factors of 28140 are 2, 3, 5, 7, 67. Prime factorization of 28140 in exponential form is:

28140 = 22 × 31 × 51 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 28129 and 28140.

LCM(28129,28140) = 231 × 12231 × 22 × 31 × 51 × 71 × 671
LCM(28129,28140) = 791550060