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What is the Least Common Multiple of 28308 and 28318?

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 28308 and 28318 is 400812972.

LCM(28308,28318) = 400812972

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Least Common Multiple of 28308 and 28318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28308 and 28318, than apply into the LCM equation.

GCF(28308,28318) = 2
LCM(28308,28318) = ( 28308 × 28318) / 2
LCM(28308,28318) = 801625944 / 2
LCM(28308,28318) = 400812972

Least Common Multiple (LCM) of 28308 and 28318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28308 and 28318. First we will calculate the prime factors of 28308 and 28318.

Prime Factorization of 28308

Prime factors of 28308 are 2, 3, 7, 337. Prime factorization of 28308 in exponential form is:

28308 = 22 × 31 × 71 × 3371

Prime Factorization of 28318

Prime factors of 28318 are 2, 14159. Prime factorization of 28318 in exponential form is:

28318 = 21 × 141591

Now multiplying the highest exponent prime factors to calculate the LCM of 28308 and 28318.

LCM(28308,28318) = 22 × 31 × 71 × 3371 × 141591
LCM(28308,28318) = 400812972