What is the Least Common Multiple of 25624 and 25635?

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 25624 and 25635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25624 and 25635, than apply into the LCM equation.

GCF(25624,25635) = 1
LCM(25624,25635) = ( 25624 × 25635) / 1
LCM(25624,25635) = 656871240 / 1
LCM(25624,25635) = 656871240

Least Common Multiple (LCM) of 25624 and 25635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25624 and 25635. First we will calculate the prime factors of 25624 and 25635.

Prime Factorization of 25624

Prime Factorization of 25635

Now multiplying the highest exponent prime factors to calculate the LCM of 25624 and 25635.

LCM(25624,25635) = 2³ × 3203¹ × 3¹ × 5¹ × 1709¹
LCM(25624,25635) = 656871240