What is the Least Common Multiple of 34270 and 34285?

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 34270 and 34285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34270 and 34285, than apply into the LCM equation.

GCF(34270,34285) = 5
LCM(34270,34285) = ( 34270 × 34285) / 5
LCM(34270,34285) = 1174946950 / 5
LCM(34270,34285) = 234989390

Least Common Multiple (LCM) of 34270 and 34285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34270 and 34285. First we will calculate the prime factors of 34270 and 34285.

Prime Factorization of 34270

Prime Factorization of 34285

Now multiplying the highest exponent prime factors to calculate the LCM of 34270 and 34285.

LCM(34270,34285) = 2¹ × 5¹ × 23¹ × 149¹ × 6857¹
LCM(34270,34285) = 234989390