What is the Least Common Multiple of 38364 and 38368?

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 38364 and 38368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38364 and 38368, than apply into the LCM equation.

GCF(38364,38368) = 4
LCM(38364,38368) = ( 38364 × 38368) / 4
LCM(38364,38368) = 1471949952 / 4
LCM(38364,38368) = 367987488

Least Common Multiple (LCM) of 38364 and 38368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38364 and 38368. First we will calculate the prime factors of 38364 and 38368.

Prime Factorization of 38364

Prime Factorization of 38368

Now multiplying the highest exponent prime factors to calculate the LCM of 38364 and 38368.

LCM(38364,38368) = 2⁵ × 3¹ × 23¹ × 139¹ × 11¹ × 109¹
LCM(38364,38368) = 367987488