What is the Least Common Multiple of 25656 and 25672?

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 25656 and 25672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25656 and 25672, than apply into the LCM equation.

GCF(25656,25672) = 8
LCM(25656,25672) = ( 25656 × 25672) / 8
LCM(25656,25672) = 658640832 / 8
LCM(25656,25672) = 82330104

Least Common Multiple (LCM) of 25656 and 25672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25656 and 25672. First we will calculate the prime factors of 25656 and 25672.

Prime Factorization of 25656

Prime Factorization of 25672

Now multiplying the highest exponent prime factors to calculate the LCM of 25656 and 25672.

LCM(25656,25672) = 2³ × 3¹ × 1069¹ × 3209¹
LCM(25656,25672) = 82330104