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What is the Least Common Multiple of 28311 and 28331?

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 28311 and 28331 is 802078941.

LCM(28311,28331) = 802078941

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Least Common Multiple of 28311 and 28331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28311 and 28331, than apply into the LCM equation.

GCF(28311,28331) = 1
LCM(28311,28331) = ( 28311 × 28331) / 1
LCM(28311,28331) = 802078941 / 1
LCM(28311,28331) = 802078941

Least Common Multiple (LCM) of 28311 and 28331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28311 and 28331. First we will calculate the prime factors of 28311 and 28331.

Prime Factorization of 28311

Prime factors of 28311 are 3, 9437. Prime factorization of 28311 in exponential form is:

28311 = 31 × 94371

Prime Factorization of 28331

Prime factors of 28331 are 41, 691. Prime factorization of 28331 in exponential form is:

28331 = 411 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 28311 and 28331.

LCM(28311,28331) = 31 × 94371 × 411 × 6911
LCM(28311,28331) = 802078941