What is the Least Common Multiple of 45472 and 45491?

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 45472 and 45491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45472 and 45491, than apply into the LCM equation.

GCF(45472,45491) = 1
LCM(45472,45491) = ( 45472 × 45491) / 1
LCM(45472,45491) = 2068566752 / 1
LCM(45472,45491) = 2068566752

Least Common Multiple (LCM) of 45472 and 45491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45472 and 45491. First we will calculate the prime factors of 45472 and 45491.

Prime Factorization of 45472

Prime Factorization of 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 45472 and 45491.

LCM(45472,45491) = 2⁵ × 7² × 29¹ × 45491¹
LCM(45472,45491) = 2068566752