What is the Least Common Multiple of 25100 and 25114?

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 25100 and 25114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25100 and 25114, than apply into the LCM equation.

GCF(25100,25114) = 2
LCM(25100,25114) = ( 25100 × 25114) / 2
LCM(25100,25114) = 630361400 / 2
LCM(25100,25114) = 315180700

Least Common Multiple (LCM) of 25100 and 25114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25100 and 25114. First we will calculate the prime factors of 25100 and 25114.

Prime Factorization of 25100

Prime Factorization of 25114

Now multiplying the highest exponent prime factors to calculate the LCM of 25100 and 25114.

LCM(25100,25114) = 2² × 5² × 251¹ × 29¹ × 433¹
LCM(25100,25114) = 315180700