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What is the Least Common Multiple of 28311 and 28322?

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 28322 is 801824142.

LCM(28311,28322) = 801824142

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Least Common Multiple of 28311 and 28322 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 28322, than apply into the LCM equation.

GCF(28311,28322) = 1
LCM(28311,28322) = ( 28311 × 28322) / 1
LCM(28311,28322) = 801824142 / 1
LCM(28311,28322) = 801824142

Least Common Multiple (LCM) of 28311 and 28322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28311 and 28322. First we will calculate the prime factors of 28311 and 28322.

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 28322

Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:

28322 = 21 × 72 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 28311 and 28322.

LCM(28311,28322) = 31 × 94371 × 21 × 72 × 172
LCM(28311,28322) = 801824142