What is the Least Common Multiple of 85504 and 85511?

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 85504 and 85511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85504 and 85511, than apply into the LCM equation.

GCF(85504,85511) = 1
LCM(85504,85511) = ( 85504 × 85511) / 1
LCM(85504,85511) = 7311532544 / 1
LCM(85504,85511) = 7311532544

Least Common Multiple (LCM) of 85504 and 85511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85504 and 85511. First we will calculate the prime factors of 85504 and 85511.

Prime Factorization of 85504

Prime Factorization of 85511

Now multiplying the highest exponent prime factors to calculate the LCM of 85504 and 85511.

LCM(85504,85511) = 2⁹ × 167¹ × 233¹ × 367¹
LCM(85504,85511) = 7311532544