What is the Least Common Multiple of 25105 and 25124?

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 25105 and 25124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25105 and 25124, than apply into the LCM equation.

GCF(25105,25124) = 1
LCM(25105,25124) = ( 25105 × 25124) / 1
LCM(25105,25124) = 630738020 / 1
LCM(25105,25124) = 630738020

Least Common Multiple (LCM) of 25105 and 25124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25105 and 25124. First we will calculate the prime factors of 25105 and 25124.

Prime Factorization of 25105

Prime Factorization of 25124

Now multiplying the highest exponent prime factors to calculate the LCM of 25105 and 25124.

LCM(25105,25124) = 5¹ × 5021¹ × 2² × 11¹ × 571¹
LCM(25105,25124) = 630738020