What is the Least Common Multiple of 34302 and 34306?

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 34302 and 34306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34302 and 34306, than apply into the LCM equation.

GCF(34302,34306) = 2
LCM(34302,34306) = ( 34302 × 34306) / 2
LCM(34302,34306) = 1176764412 / 2
LCM(34302,34306) = 588382206

Least Common Multiple (LCM) of 34302 and 34306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34302 and 34306. First we will calculate the prime factors of 34302 and 34306.

Prime Factorization of 34302

Prime Factorization of 34306

Now multiplying the highest exponent prime factors to calculate the LCM of 34302 and 34306.

LCM(34302,34306) = 2¹ × 3¹ × 5717¹ × 17¹ × 1009¹
LCM(34302,34306) = 588382206