What is the Least Common Multiple of 38925 and 38944?

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 38925 and 38944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38925 and 38944, than apply into the LCM equation.

GCF(38925,38944) = 1
LCM(38925,38944) = ( 38925 × 38944) / 1
LCM(38925,38944) = 1515895200 / 1
LCM(38925,38944) = 1515895200

Least Common Multiple (LCM) of 38925 and 38944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38925 and 38944. First we will calculate the prime factors of 38925 and 38944.

Prime Factorization of 38925

Prime Factorization of 38944

Now multiplying the highest exponent prime factors to calculate the LCM of 38925 and 38944.

LCM(38925,38944) = 3² × 5² × 173¹ × 2⁵ × 1217¹
LCM(38925,38944) = 1515895200