What is the Least Common Multiple of 25020 and 25032?

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 25020 and 25032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25020 and 25032, than apply into the LCM equation.

GCF(25020,25032) = 12
LCM(25020,25032) = ( 25020 × 25032) / 12
LCM(25020,25032) = 626300640 / 12
LCM(25020,25032) = 52191720

Least Common Multiple (LCM) of 25020 and 25032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25020 and 25032. First we will calculate the prime factors of 25020 and 25032.

Prime Factorization of 25020

Prime Factorization of 25032

Now multiplying the highest exponent prime factors to calculate the LCM of 25020 and 25032.

LCM(25020,25032) = 2³ × 3² × 5¹ × 139¹ × 7¹ × 149¹
LCM(25020,25032) = 52191720