What is the Least Common Multiple of 40480 and 40498?

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 40480 and 40498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40480 and 40498, than apply into the LCM equation.

GCF(40480,40498) = 2
LCM(40480,40498) = ( 40480 × 40498) / 2
LCM(40480,40498) = 1639359040 / 2
LCM(40480,40498) = 819679520

Least Common Multiple (LCM) of 40480 and 40498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40480 and 40498. First we will calculate the prime factors of 40480 and 40498.

Prime Factorization of 40480

Prime Factorization of 40498

Now multiplying the highest exponent prime factors to calculate the LCM of 40480 and 40498.

LCM(40480,40498) = 2⁵ × 5¹ × 11¹ × 23¹ × 20249¹
LCM(40480,40498) = 819679520