What is the Least Common Multiple of 25668 and 25686?

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 25668 and 25686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25668 and 25686, than apply into the LCM equation.

GCF(25668,25686) = 18
LCM(25668,25686) = ( 25668 × 25686) / 18
LCM(25668,25686) = 659308248 / 18
LCM(25668,25686) = 36628236

Least Common Multiple (LCM) of 25668 and 25686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25668 and 25686. First we will calculate the prime factors of 25668 and 25686.

Prime Factorization of 25668

Prime Factorization of 25686

Now multiplying the highest exponent prime factors to calculate the LCM of 25668 and 25686.

LCM(25668,25686) = 2² × 3² × 23¹ × 31¹ × 1427¹
LCM(25668,25686) = 36628236