What is the Least Common Multiple of 25650 and 25664?

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 25650 and 25664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25650 and 25664, than apply into the LCM equation.

GCF(25650,25664) = 2
LCM(25650,25664) = ( 25650 × 25664) / 2
LCM(25650,25664) = 658281600 / 2
LCM(25650,25664) = 329140800

Least Common Multiple (LCM) of 25650 and 25664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25650 and 25664. First we will calculate the prime factors of 25650 and 25664.

Prime Factorization of 25650

Prime Factorization of 25664

Now multiplying the highest exponent prime factors to calculate the LCM of 25650 and 25664.

LCM(25650,25664) = 2⁶ × 3³ × 5² × 19¹ × 401¹
LCM(25650,25664) = 329140800