What is the Least Common Multiple of 85504 and 85508?

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 85508 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 85508, than apply into the LCM equation.

GCF(85504,85508) = 4
LCM(85504,85508) = ( 85504 × 85508) / 4
LCM(85504,85508) = 7311276032 / 4
LCM(85504,85508) = 1827819008

Least Common Multiple (LCM) of 85504 and 85508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85504 and 85508. First we will calculate the prime factors of 85504 and 85508.

Prime Factorization of 85504

Prime Factorization of 85508

Now multiplying the highest exponent prime factors to calculate the LCM of 85504 and 85508.

LCM(85504,85508) = 2⁹ × 167¹ × 21377¹
LCM(85504,85508) = 1827819008