What is the Least Common Multiple of 85306 and 85325?

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 85306 and 85325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85306 and 85325, than apply into the LCM equation.

GCF(85306,85325) = 1
LCM(85306,85325) = ( 85306 × 85325) / 1
LCM(85306,85325) = 7278734450 / 1
LCM(85306,85325) = 7278734450

Least Common Multiple (LCM) of 85306 and 85325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85306 and 85325. First we will calculate the prime factors of 85306 and 85325.

Prime Factorization of 85306

Prime Factorization of 85325

Now multiplying the highest exponent prime factors to calculate the LCM of 85306 and 85325.

LCM(85306,85325) = 2¹ × 13¹ × 17¹ × 193¹ × 5² × 3413¹
LCM(85306,85325) = 7278734450