What is the Least Common Multiple of 44925 and 44938?

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 44925 and 44938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44925 and 44938, than apply into the LCM equation.

GCF(44925,44938) = 1
LCM(44925,44938) = ( 44925 × 44938) / 1
LCM(44925,44938) = 2018839650 / 1
LCM(44925,44938) = 2018839650

Least Common Multiple (LCM) of 44925 and 44938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44925 and 44938. First we will calculate the prime factors of 44925 and 44938.

Prime Factorization of 44925

Prime Factorization of 44938

Now multiplying the highest exponent prime factors to calculate the LCM of 44925 and 44938.

LCM(44925,44938) = 3¹ × 5² × 599¹ × 2¹ × 22469¹
LCM(44925,44938) = 2018839650