What is the Least Common Multiple of 40389 and 40406?

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 40389 and 40406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40389 and 40406, than apply into the LCM equation.

GCF(40389,40406) = 1
LCM(40389,40406) = ( 40389 × 40406) / 1
LCM(40389,40406) = 1631957934 / 1
LCM(40389,40406) = 1631957934

Least Common Multiple (LCM) of 40389 and 40406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40389 and 40406. First we will calculate the prime factors of 40389 and 40406.

Prime Factorization of 40389

Prime Factorization of 40406

Now multiplying the highest exponent prime factors to calculate the LCM of 40389 and 40406.

LCM(40389,40406) = 3¹ × 13463¹ × 2¹ × 89¹ × 227¹
LCM(40389,40406) = 1631957934