What is the Least Common Multiple of 38538 and 38552?

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 38538 and 38552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38538 and 38552, than apply into the LCM equation.

GCF(38538,38552) = 2
LCM(38538,38552) = ( 38538 × 38552) / 2
LCM(38538,38552) = 1485716976 / 2
LCM(38538,38552) = 742858488

Least Common Multiple (LCM) of 38538 and 38552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38538 and 38552. First we will calculate the prime factors of 38538 and 38552.

Prime Factorization of 38538

Prime Factorization of 38552

Now multiplying the highest exponent prime factors to calculate the LCM of 38538 and 38552.

LCM(38538,38552) = 2³ × 3² × 2141¹ × 61¹ × 79¹
LCM(38538,38552) = 742858488