What is the Least Common Multiple of 40857 and 40868?

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 40857 and 40868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40857 and 40868, than apply into the LCM equation.

GCF(40857,40868) = 1
LCM(40857,40868) = ( 40857 × 40868) / 1
LCM(40857,40868) = 1669743876 / 1
LCM(40857,40868) = 1669743876

Least Common Multiple (LCM) of 40857 and 40868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40857 and 40868. First we will calculate the prime factors of 40857 and 40868.

Prime Factorization of 40857

Prime Factorization of 40868

Now multiplying the highest exponent prime factors to calculate the LCM of 40857 and 40868.

LCM(40857,40868) = 3¹ × 13619¹ × 2² × 17¹ × 601¹
LCM(40857,40868) = 1669743876