What is the Least Common Multiple of 25010 and 25022?

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 25010 and 25022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25010 and 25022, than apply into the LCM equation.

GCF(25010,25022) = 2
LCM(25010,25022) = ( 25010 × 25022) / 2
LCM(25010,25022) = 625800220 / 2
LCM(25010,25022) = 312900110

Least Common Multiple (LCM) of 25010 and 25022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25010 and 25022. First we will calculate the prime factors of 25010 and 25022.

Prime Factorization of 25010

Prime Factorization of 25022

Now multiplying the highest exponent prime factors to calculate the LCM of 25010 and 25022.

LCM(25010,25022) = 2¹ × 5¹ × 41¹ × 61¹ × 12511¹
LCM(25010,25022) = 312900110