What is the Least Common Multiple of 85309 and 85319?

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 85309 and 85319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85309 and 85319, than apply into the LCM equation.

GCF(85309,85319) = 1
LCM(85309,85319) = ( 85309 × 85319) / 1
LCM(85309,85319) = 7278478571 / 1
LCM(85309,85319) = 7278478571

Least Common Multiple (LCM) of 85309 and 85319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85309 and 85319. First we will calculate the prime factors of 85309 and 85319.

Prime Factorization of 85309

Prime Factorization of 85319

Now multiplying the highest exponent prime factors to calculate the LCM of 85309 and 85319.

LCM(85309,85319) = 7² × 1741¹ × 13¹ × 6563¹
LCM(85309,85319) = 7278478571