What is the Least Common Multiple of 20625 and 20638?

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 20625 and 20638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20625 and 20638, than apply into the LCM equation.

GCF(20625,20638) = 1
LCM(20625,20638) = ( 20625 × 20638) / 1
LCM(20625,20638) = 425658750 / 1
LCM(20625,20638) = 425658750

Least Common Multiple (LCM) of 20625 and 20638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20625 and 20638. First we will calculate the prime factors of 20625 and 20638.

Prime Factorization of 20625

Prime Factorization of 20638

Now multiplying the highest exponent prime factors to calculate the LCM of 20625 and 20638.

LCM(20625,20638) = 3¹ × 5⁴ × 11¹ × 2¹ × 17¹ × 607¹
LCM(20625,20638) = 425658750