What is the Least Common Multiple of 25626 and 25633?

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 25633 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 25633, than apply into the LCM equation.

GCF(25626,25633) = 1
LCM(25626,25633) = ( 25626 × 25633) / 1
LCM(25626,25633) = 656871258 / 1
LCM(25626,25633) = 656871258

Least Common Multiple (LCM) of 25626 and 25633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25626 and 25633. First we will calculate the prime factors of 25626 and 25633.

Prime Factorization of 25626

Prime Factorization of 25633

Now multiplying the highest exponent prime factors to calculate the LCM of 25626 and 25633.

LCM(25626,25633) = 2¹ × 3¹ × 4271¹ × 25633¹
LCM(25626,25633) = 656871258