What is the Least Common Multiple of 25626 and 25637?

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 25626 and 25637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25626 and 25637, than apply into the LCM equation.

GCF(25626,25637) = 1
LCM(25626,25637) = ( 25626 × 25637) / 1
LCM(25626,25637) = 656973762 / 1
LCM(25626,25637) = 656973762

Least Common Multiple (LCM) of 25626 and 25637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25626 and 25637. First we will calculate the prime factors of 25626 and 25637.

Prime Factorization of 25626

Prime Factorization of 25637

Now multiplying the highest exponent prime factors to calculate the LCM of 25626 and 25637.

LCM(25626,25637) = 2¹ × 3¹ × 4271¹ × 31¹ × 827¹
LCM(25626,25637) = 656973762