What is the Least Common Multiple of 25500 and 25514?

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 25500 and 25514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25500 and 25514, than apply into the LCM equation.

GCF(25500,25514) = 2
LCM(25500,25514) = ( 25500 × 25514) / 2
LCM(25500,25514) = 650607000 / 2
LCM(25500,25514) = 325303500

Least Common Multiple (LCM) of 25500 and 25514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25500 and 25514. First we will calculate the prime factors of 25500 and 25514.

Prime Factorization of 25500

Prime Factorization of 25514

Now multiplying the highest exponent prime factors to calculate the LCM of 25500 and 25514.

LCM(25500,25514) = 2² × 3¹ × 5³ × 17¹ × 12757¹
LCM(25500,25514) = 325303500