What is the Least Common Multiple of 34285 and 34290?

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 34285 and 34290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34285 and 34290, than apply into the LCM equation.

GCF(34285,34290) = 5
LCM(34285,34290) = ( 34285 × 34290) / 5
LCM(34285,34290) = 1175632650 / 5
LCM(34285,34290) = 235126530

Least Common Multiple (LCM) of 34285 and 34290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34285 and 34290. First we will calculate the prime factors of 34285 and 34290.

Prime Factorization of 34285

Prime Factorization of 34290

Now multiplying the highest exponent prime factors to calculate the LCM of 34285 and 34290.

LCM(34285,34290) = 5¹ × 6857¹ × 2¹ × 3³ × 127¹
LCM(34285,34290) = 235126530