What is the Least Common Multiple of 25002 and 25012?

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 25002 and 25012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25002 and 25012, than apply into the LCM equation.

GCF(25002,25012) = 2
LCM(25002,25012) = ( 25002 × 25012) / 2
LCM(25002,25012) = 625350024 / 2
LCM(25002,25012) = 312675012

Least Common Multiple (LCM) of 25002 and 25012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25002 and 25012. First we will calculate the prime factors of 25002 and 25012.

Prime Factorization of 25002

Prime Factorization of 25012

Now multiplying the highest exponent prime factors to calculate the LCM of 25002 and 25012.

LCM(25002,25012) = 2² × 3³ × 463¹ × 13² × 37¹
LCM(25002,25012) = 312675012