What is the Least Common Multiple of 40848 and 40857?

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 40848 and 40857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40848 and 40857, than apply into the LCM equation.

GCF(40848,40857) = 3
LCM(40848,40857) = ( 40848 × 40857) / 3
LCM(40848,40857) = 1668926736 / 3
LCM(40848,40857) = 556308912

Least Common Multiple (LCM) of 40848 and 40857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40848 and 40857. First we will calculate the prime factors of 40848 and 40857.

Prime Factorization of 40848

Prime Factorization of 40857

Now multiplying the highest exponent prime factors to calculate the LCM of 40848 and 40857.

LCM(40848,40857) = 2⁴ × 3¹ × 23¹ × 37¹ × 13619¹
LCM(40848,40857) = 556308912