What is the Least Common Multiple of 85472 and 85491?

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 85472 and 85491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85472 and 85491, than apply into the LCM equation.

GCF(85472,85491) = 1
LCM(85472,85491) = ( 85472 × 85491) / 1
LCM(85472,85491) = 7307086752 / 1
LCM(85472,85491) = 7307086752

Least Common Multiple (LCM) of 85472 and 85491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85472 and 85491. First we will calculate the prime factors of 85472 and 85491.

Prime Factorization of 85472

Prime Factorization of 85491

Now multiplying the highest exponent prime factors to calculate the LCM of 85472 and 85491.

LCM(85472,85491) = 2⁵ × 2671¹ × 3² × 7¹ × 23¹ × 59¹
LCM(85472,85491) = 7307086752