What is the Least Common Multiple of 20608 and 20625?

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 20608 and 20625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20608 and 20625, than apply into the LCM equation.

GCF(20608,20625) = 1
LCM(20608,20625) = ( 20608 × 20625) / 1
LCM(20608,20625) = 425040000 / 1
LCM(20608,20625) = 425040000

Least Common Multiple (LCM) of 20608 and 20625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20608 and 20625. First we will calculate the prime factors of 20608 and 20625.

Prime Factorization of 20608

Prime Factorization of 20625

Now multiplying the highest exponent prime factors to calculate the LCM of 20608 and 20625.

LCM(20608,20625) = 2⁷ × 7¹ × 23¹ × 3¹ × 5⁴ × 11¹
LCM(20608,20625) = 425040000