What is the Least Common Multiple of 85325 and 85338?

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 85325 and 85338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85325 and 85338, than apply into the LCM equation.

GCF(85325,85338) = 1
LCM(85325,85338) = ( 85325 × 85338) / 1
LCM(85325,85338) = 7281464850 / 1
LCM(85325,85338) = 7281464850

Least Common Multiple (LCM) of 85325 and 85338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85325 and 85338. First we will calculate the prime factors of 85325 and 85338.

Prime Factorization of 85325

Prime Factorization of 85338

Now multiplying the highest exponent prime factors to calculate the LCM of 85325 and 85338.

LCM(85325,85338) = 5² × 3413¹ × 2¹ × 3² × 11¹ × 431¹
LCM(85325,85338) = 7281464850