What is the Least Common Multiple of 25493 and 25502?

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 25493 and 25502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25493 and 25502, than apply into the LCM equation.

GCF(25493,25502) = 1
LCM(25493,25502) = ( 25493 × 25502) / 1
LCM(25493,25502) = 650122486 / 1
LCM(25493,25502) = 650122486

Least Common Multiple (LCM) of 25493 and 25502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25493 and 25502. First we will calculate the prime factors of 25493 and 25502.

Prime Factorization of 25493

Prime Factorization of 25502

Now multiplying the highest exponent prime factors to calculate the LCM of 25493 and 25502.

LCM(25493,25502) = 13¹ × 37¹ × 53¹ × 2¹ × 41¹ × 311¹
LCM(25493,25502) = 650122486