What is the Least Common Multiple of 25602 and 25619?

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 25602 and 25619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25602 and 25619, than apply into the LCM equation.

GCF(25602,25619) = 17
LCM(25602,25619) = ( 25602 × 25619) / 17
LCM(25602,25619) = 655897638 / 17
LCM(25602,25619) = 38582214

Least Common Multiple (LCM) of 25602 and 25619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25602 and 25619. First we will calculate the prime factors of 25602 and 25619.

Prime Factorization of 25602

Prime Factorization of 25619

Now multiplying the highest exponent prime factors to calculate the LCM of 25602 and 25619.

LCM(25602,25619) = 2¹ × 3¹ × 17¹ × 251¹ × 11¹ × 137¹
LCM(25602,25619) = 38582214