What is the Least Common Multiple of 20472 and 20491?

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 20472 and 20491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20472 and 20491, than apply into the LCM equation.

GCF(20472,20491) = 1
LCM(20472,20491) = ( 20472 × 20491) / 1
LCM(20472,20491) = 419491752 / 1
LCM(20472,20491) = 419491752

Least Common Multiple (LCM) of 20472 and 20491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20472 and 20491. First we will calculate the prime factors of 20472 and 20491.

Prime Factorization of 20472

Prime Factorization of 20491

Now multiplying the highest exponent prime factors to calculate the LCM of 20472 and 20491.

LCM(20472,20491) = 2³ × 3¹ × 853¹ × 31¹ × 661¹
LCM(20472,20491) = 419491752