What is the Least Common Multiple of 25929 and 25938?

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 25929 and 25938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25929 and 25938, than apply into the LCM equation.

GCF(25929,25938) = 9
LCM(25929,25938) = ( 25929 × 25938) / 9
LCM(25929,25938) = 672546402 / 9
LCM(25929,25938) = 74727378

Least Common Multiple (LCM) of 25929 and 25938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25929 and 25938. First we will calculate the prime factors of 25929 and 25938.

Prime Factorization of 25929

Prime Factorization of 25938

Now multiplying the highest exponent prime factors to calculate the LCM of 25929 and 25938.

LCM(25929,25938) = 3² × 43¹ × 67¹ × 2¹ × 11¹ × 131¹
LCM(25929,25938) = 74727378