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What is the Least Common Multiple of 28372 and 28379?

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 28372 and 28379 is 805168988.

LCM(28372,28379) = 805168988

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Least Common Multiple of 28372 and 28379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28372 and 28379, than apply into the LCM equation.

GCF(28372,28379) = 1
LCM(28372,28379) = ( 28372 × 28379) / 1
LCM(28372,28379) = 805168988 / 1
LCM(28372,28379) = 805168988

Least Common Multiple (LCM) of 28372 and 28379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28372 and 28379. First we will calculate the prime factors of 28372 and 28379.

Prime Factorization of 28372

Prime factors of 28372 are 2, 41, 173. Prime factorization of 28372 in exponential form is:

28372 = 22 × 411 × 1731

Prime Factorization of 28379

Prime factors of 28379 are 13, 37, 59. Prime factorization of 28379 in exponential form is:

28379 = 131 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 28372 and 28379.

LCM(28372,28379) = 22 × 411 × 1731 × 131 × 371 × 591
LCM(28372,28379) = 805168988