What is the Least Common Multiple of 16472 and 16491?

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 16472 and 16491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16472 and 16491, than apply into the LCM equation.

GCF(16472,16491) = 1
LCM(16472,16491) = ( 16472 × 16491) / 1
LCM(16472,16491) = 271639752 / 1
LCM(16472,16491) = 271639752

Least Common Multiple (LCM) of 16472 and 16491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16472 and 16491. First we will calculate the prime factors of 16472 and 16491.

Prime Factorization of 16472

Prime Factorization of 16491

Now multiplying the highest exponent prime factors to calculate the LCM of 16472 and 16491.

LCM(16472,16491) = 2³ × 29¹ × 71¹ × 3¹ × 23¹ × 239¹
LCM(16472,16491) = 271639752