What is the Least Common Multiple of 25080 and 25100?

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 25080 and 25100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25080 and 25100, than apply into the LCM equation.

GCF(25080,25100) = 20
LCM(25080,25100) = ( 25080 × 25100) / 20
LCM(25080,25100) = 629508000 / 20
LCM(25080,25100) = 31475400

Least Common Multiple (LCM) of 25080 and 25100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25080 and 25100. First we will calculate the prime factors of 25080 and 25100.

Prime Factorization of 25080

Prime Factorization of 25100

Now multiplying the highest exponent prime factors to calculate the LCM of 25080 and 25100.

LCM(25080,25100) = 2³ × 3¹ × 5² × 11¹ × 19¹ × 251¹
LCM(25080,25100) = 31475400