What is the Least Common Multiple of 38318 and 38336?

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 38318 and 38336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38318 and 38336, than apply into the LCM equation.

GCF(38318,38336) = 2
LCM(38318,38336) = ( 38318 × 38336) / 2
LCM(38318,38336) = 1468958848 / 2
LCM(38318,38336) = 734479424

Least Common Multiple (LCM) of 38318 and 38336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38318 and 38336. First we will calculate the prime factors of 38318 and 38336.

Prime Factorization of 38318

Prime Factorization of 38336

Now multiplying the highest exponent prime factors to calculate the LCM of 38318 and 38336.

LCM(38318,38336) = 2⁶ × 7² × 17¹ × 23¹ × 599¹
LCM(38318,38336) = 734479424