What is the Least Common Multiple of 38312 and 38318?

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 of 38312 and 38318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38312 and 38318, than apply into the LCM equation.

GCF(38312,38318) = 2
LCM(38312,38318) = ( 38312 × 38318) / 2
LCM(38312,38318) = 1468039216 / 2
LCM(38312,38318) = 734019608

Least Common Multiple (LCM) of 38312 and 38318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38312 and 38318. First we will calculate the prime factors of 38312 and 38318.

Prime Factorization of 38312

Prime Factorization of 38318

Now multiplying the highest exponent prime factors to calculate the LCM of 38312 and 38318.

LCM(38312,38318) = 2³ × 4789¹ × 7² × 17¹ × 23¹
LCM(38312,38318) = 734019608