What is the Least Common Multiple of 38625 and 38630?

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 38625 and 38630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38625 and 38630, than apply into the LCM equation.

GCF(38625,38630) = 5
LCM(38625,38630) = ( 38625 × 38630) / 5
LCM(38625,38630) = 1492083750 / 5
LCM(38625,38630) = 298416750

Least Common Multiple (LCM) of 38625 and 38630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38625 and 38630. First we will calculate the prime factors of 38625 and 38630.

Prime Factorization of 38625

Prime Factorization of 38630

Now multiplying the highest exponent prime factors to calculate the LCM of 38625 and 38630.

LCM(38625,38630) = 3¹ × 5³ × 103¹ × 2¹ × 3863¹
LCM(38625,38630) = 298416750