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What is the Least Common Multiple of 28124 and 28139?

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 28124 and 28139 is 791381236.

LCM(28124,28139) = 791381236

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Least Common Multiple of 28124 and 28139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28124 and 28139, than apply into the LCM equation.

GCF(28124,28139) = 1
LCM(28124,28139) = ( 28124 × 28139) / 1
LCM(28124,28139) = 791381236 / 1
LCM(28124,28139) = 791381236

Least Common Multiple (LCM) of 28124 and 28139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28124 and 28139. First we will calculate the prime factors of 28124 and 28139.

Prime Factorization of 28124

Prime factors of 28124 are 2, 79, 89. Prime factorization of 28124 in exponential form is:

28124 = 22 × 791 × 891

Prime Factorization of 28139

Prime factors of 28139 are 19, 1481. Prime factorization of 28139 in exponential form is:

28139 = 191 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 28124 and 28139.

LCM(28124,28139) = 22 × 791 × 891 × 191 × 14811
LCM(28124,28139) = 791381236