What is the Least Common Multiple of 25470 and 25488?

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 25470 and 25488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25470 and 25488, than apply into the LCM equation.

GCF(25470,25488) = 18
LCM(25470,25488) = ( 25470 × 25488) / 18
LCM(25470,25488) = 649179360 / 18
LCM(25470,25488) = 36065520

Least Common Multiple (LCM) of 25470 and 25488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25470 and 25488. First we will calculate the prime factors of 25470 and 25488.

Prime Factorization of 25470

Prime Factorization of 25488

Now multiplying the highest exponent prime factors to calculate the LCM of 25470 and 25488.

LCM(25470,25488) = 2⁴ × 3³ × 5¹ × 283¹ × 59¹
LCM(25470,25488) = 36065520