What is the Least Common Multiple of 40480 and 40496?

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 40496 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 40496, than apply into the LCM equation.

GCF(40480,40496) = 16
LCM(40480,40496) = ( 40480 × 40496) / 16
LCM(40480,40496) = 1639278080 / 16
LCM(40480,40496) = 102454880

Least Common Multiple (LCM) of 40480 and 40496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40480 and 40496. First we will calculate the prime factors of 40480 and 40496.

Prime Factorization of 40480

Prime Factorization of 40496

Now multiplying the highest exponent prime factors to calculate the LCM of 40480 and 40496.

LCM(40480,40496) = 2⁵ × 5¹ × 11¹ × 23¹ × 2531¹
LCM(40480,40496) = 102454880