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What is the Least Common Multiple of 28120 and 28131?

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 28120 and 28131 is 791043720.

LCM(28120,28131) = 791043720

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Least Common Multiple of 28120 and 28131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28120 and 28131, than apply into the LCM equation.

GCF(28120,28131) = 1
LCM(28120,28131) = ( 28120 × 28131) / 1
LCM(28120,28131) = 791043720 / 1
LCM(28120,28131) = 791043720

Least Common Multiple (LCM) of 28120 and 28131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28120 and 28131. First we will calculate the prime factors of 28120 and 28131.

Prime Factorization of 28120

Prime factors of 28120 are 2, 5, 19, 37. Prime factorization of 28120 in exponential form is:

28120 = 23 × 51 × 191 × 371

Prime Factorization of 28131

Prime factors of 28131 are 3, 9377. Prime factorization of 28131 in exponential form is:

28131 = 31 × 93771

Now multiplying the highest exponent prime factors to calculate the LCM of 28120 and 28131.

LCM(28120,28131) = 23 × 51 × 191 × 371 × 31 × 93771
LCM(28120,28131) = 791043720