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What is the Least Common Multiple of 28218 and 28227?

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 28218 and 28227 is 265503162.

LCM(28218,28227) = 265503162

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Least Common Multiple of 28218 and 28227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28218 and 28227, than apply into the LCM equation.

GCF(28218,28227) = 3
LCM(28218,28227) = ( 28218 × 28227) / 3
LCM(28218,28227) = 796509486 / 3
LCM(28218,28227) = 265503162

Least Common Multiple (LCM) of 28218 and 28227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28218 and 28227. First we will calculate the prime factors of 28218 and 28227.

Prime Factorization of 28218

Prime factors of 28218 are 2, 3, 4703. Prime factorization of 28218 in exponential form is:

28218 = 21 × 31 × 47031

Prime Factorization of 28227

Prime factors of 28227 are 3, 97. Prime factorization of 28227 in exponential form is:

28227 = 31 × 972

Now multiplying the highest exponent prime factors to calculate the LCM of 28218 and 28227.

LCM(28218,28227) = 21 × 31 × 47031 × 972
LCM(28218,28227) = 265503162