What is the Least Common Multiple of 25624 and 25628?

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 25628 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 25628, than apply into the LCM equation.

GCF(25624,25628) = 4
LCM(25624,25628) = ( 25624 × 25628) / 4
LCM(25624,25628) = 656691872 / 4
LCM(25624,25628) = 164172968

Least Common Multiple (LCM) of 25624 and 25628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25624 and 25628. First we will calculate the prime factors of 25624 and 25628.

Prime Factorization of 25624

Prime Factorization of 25628

Now multiplying the highest exponent prime factors to calculate the LCM of 25624 and 25628.

LCM(25624,25628) = 2³ × 3203¹ × 43¹ × 149¹
LCM(25624,25628) = 164172968