What is the Least Common Multiple of 25500 and 25518?

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 25518 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 25518, than apply into the LCM equation.

GCF(25500,25518) = 6
LCM(25500,25518) = ( 25500 × 25518) / 6
LCM(25500,25518) = 650709000 / 6
LCM(25500,25518) = 108451500

Least Common Multiple (LCM) of 25500 and 25518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25500 and 25518. First we will calculate the prime factors of 25500 and 25518.

Prime Factorization of 25500

Prime Factorization of 25518

Now multiplying the highest exponent prime factors to calculate the LCM of 25500 and 25518.

LCM(25500,25518) = 2² × 3¹ × 5³ × 17¹ × 4253¹
LCM(25500,25518) = 108451500