What is the Least Common Multiple of 40472 and 40482?

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 40472 and 40482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40472 and 40482, than apply into the LCM equation.

GCF(40472,40482) = 2
LCM(40472,40482) = ( 40472 × 40482) / 2
LCM(40472,40482) = 1638387504 / 2
LCM(40472,40482) = 819193752

Least Common Multiple (LCM) of 40472 and 40482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40472 and 40482. First we will calculate the prime factors of 40472 and 40482.

Prime Factorization of 40472

Prime Factorization of 40482

Now multiplying the highest exponent prime factors to calculate the LCM of 40472 and 40482.

LCM(40472,40482) = 2³ × 5059¹ × 3² × 13¹ × 173¹
LCM(40472,40482) = 819193752