What is the Least Common Multiple of 25012 and 25026?

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 25012 and 25026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25012 and 25026, than apply into the LCM equation.

GCF(25012,25026) = 2
LCM(25012,25026) = ( 25012 × 25026) / 2
LCM(25012,25026) = 625950312 / 2
LCM(25012,25026) = 312975156

Least Common Multiple (LCM) of 25012 and 25026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25012 and 25026. First we will calculate the prime factors of 25012 and 25026.

Prime Factorization of 25012

Prime Factorization of 25026

Now multiplying the highest exponent prime factors to calculate the LCM of 25012 and 25026.

LCM(25012,25026) = 2² × 13² × 37¹ × 3¹ × 43¹ × 97¹
LCM(25012,25026) = 312975156