What is the Least Common Multiple of 25606 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 25606 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 25606 and 25619, than apply into the LCM equation.

GCF(25606,25619) = 1
LCM(25606,25619) = ( 25606 × 25619) / 1
LCM(25606,25619) = 656000114 / 1
LCM(25606,25619) = 656000114

Least Common Multiple (LCM) of 25606 and 25619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25606 and 25619. First we will calculate the prime factors of 25606 and 25619.

Prime Factorization of 25606

Prime Factorization of 25619

Now multiplying the highest exponent prime factors to calculate the LCM of 25606 and 25619.

LCM(25606,25619) = 2¹ × 7¹ × 31¹ × 59¹ × 11¹ × 17¹ × 137¹
LCM(25606,25619) = 656000114