What is the Least Common Multiple of 40085 and 40089?

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 40085 and 40089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40085 and 40089, than apply into the LCM equation.

GCF(40085,40089) = 1
LCM(40085,40089) = ( 40085 × 40089) / 1
LCM(40085,40089) = 1606967565 / 1
LCM(40085,40089) = 1606967565

Least Common Multiple (LCM) of 40085 and 40089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40085 and 40089. First we will calculate the prime factors of 40085 and 40089.

Prime Factorization of 40085

Prime Factorization of 40089

Now multiplying the highest exponent prime factors to calculate the LCM of 40085 and 40089.

LCM(40085,40089) = 5¹ × 8017¹ × 3¹ × 7¹ × 23¹ × 83¹
LCM(40085,40089) = 1606967565