What is the Least Common Multiple of 40480 and 40491?

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 40491 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 40491, than apply into the LCM equation.

GCF(40480,40491) = 11
LCM(40480,40491) = ( 40480 × 40491) / 11
LCM(40480,40491) = 1639075680 / 11
LCM(40480,40491) = 149006880

Least Common Multiple (LCM) of 40480 and 40491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40480 and 40491. First we will calculate the prime factors of 40480 and 40491.

Prime Factorization of 40480

Prime Factorization of 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 40480 and 40491.

LCM(40480,40491) = 2⁵ × 5¹ × 11¹ × 23¹ × 3² × 409¹
LCM(40480,40491) = 149006880