What is the Least Common Multiple of 45810 and 45824?

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 45810 and 45824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45810 and 45824, than apply into the LCM equation.

GCF(45810,45824) = 2
LCM(45810,45824) = ( 45810 × 45824) / 2
LCM(45810,45824) = 2099197440 / 2
LCM(45810,45824) = 1049598720

Least Common Multiple (LCM) of 45810 and 45824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45810 and 45824. First we will calculate the prime factors of 45810 and 45824.

Prime Factorization of 45810

Prime Factorization of 45824

Now multiplying the highest exponent prime factors to calculate the LCM of 45810 and 45824.

LCM(45810,45824) = 2⁸ × 3² × 5¹ × 509¹ × 179¹
LCM(45810,45824) = 1049598720