What is the Least Common Multiple of 85310 and 85329?

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 85310 and 85329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85310 and 85329, than apply into the LCM equation.

GCF(85310,85329) = 19
LCM(85310,85329) = ( 85310 × 85329) / 19
LCM(85310,85329) = 7279416990 / 19
LCM(85310,85329) = 383127210

Least Common Multiple (LCM) of 85310 and 85329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85310 and 85329. First we will calculate the prime factors of 85310 and 85329.

Prime Factorization of 85310

Prime Factorization of 85329

Now multiplying the highest exponent prime factors to calculate the LCM of 85310 and 85329.

LCM(85310,85329) = 2¹ × 5¹ × 19¹ × 449¹ × 3² × 499¹
LCM(85310,85329) = 383127210