What is the Least Common Multiple of 25460 and 25474?

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 25460 and 25474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25460 and 25474, than apply into the LCM equation.

GCF(25460,25474) = 2
LCM(25460,25474) = ( 25460 × 25474) / 2
LCM(25460,25474) = 648568040 / 2
LCM(25460,25474) = 324284020

Least Common Multiple (LCM) of 25460 and 25474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25460 and 25474. First we will calculate the prime factors of 25460 and 25474.

Prime Factorization of 25460

Prime Factorization of 25474

Now multiplying the highest exponent prime factors to calculate the LCM of 25460 and 25474.

LCM(25460,25474) = 2² × 5¹ × 19¹ × 67¹ × 47¹ × 271¹
LCM(25460,25474) = 324284020