What is the Least Common Multiple of 40857 and 40869?

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 40869 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 40869, than apply into the LCM equation.

GCF(40857,40869) = 3
LCM(40857,40869) = ( 40857 × 40869) / 3
LCM(40857,40869) = 1669784733 / 3
LCM(40857,40869) = 556594911

Least Common Multiple (LCM) of 40857 and 40869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40857 and 40869. First we will calculate the prime factors of 40857 and 40869.

Prime Factorization of 40857

Prime Factorization of 40869

Now multiplying the highest exponent prime factors to calculate the LCM of 40857 and 40869.

LCM(40857,40869) = 3² × 13619¹ × 19¹ × 239¹
LCM(40857,40869) = 556594911