What is the Least Common Multiple of 40474 and 40480?

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 40474 and 40480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40474 and 40480, than apply into the LCM equation.

GCF(40474,40480) = 2
LCM(40474,40480) = ( 40474 × 40480) / 2
LCM(40474,40480) = 1638387520 / 2
LCM(40474,40480) = 819193760

Least Common Multiple (LCM) of 40474 and 40480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40474 and 40480. First we will calculate the prime factors of 40474 and 40480.

Prime Factorization of 40474

Prime Factorization of 40480

Now multiplying the highest exponent prime factors to calculate the LCM of 40474 and 40480.

LCM(40474,40480) = 2⁵ × 7³ × 59¹ × 5¹ × 11¹ × 23¹
LCM(40474,40480) = 819193760