What is the Least Common Multiple of 38256 and 38268?

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 38256 and 38268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38256 and 38268, than apply into the LCM equation.

GCF(38256,38268) = 12
LCM(38256,38268) = ( 38256 × 38268) / 12
LCM(38256,38268) = 1463980608 / 12
LCM(38256,38268) = 121998384

Least Common Multiple (LCM) of 38256 and 38268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38256 and 38268. First we will calculate the prime factors of 38256 and 38268.

Prime Factorization of 38256

Prime Factorization of 38268

Now multiplying the highest exponent prime factors to calculate the LCM of 38256 and 38268.

LCM(38256,38268) = 2⁴ × 3² × 797¹ × 1063¹
LCM(38256,38268) = 121998384