What is the Least Common Multiple of 34362 and 34378?

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 34362 and 34378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34362 and 34378, than apply into the LCM equation.

GCF(34362,34378) = 2
LCM(34362,34378) = ( 34362 × 34378) / 2
LCM(34362,34378) = 1181296836 / 2
LCM(34362,34378) = 590648418

Least Common Multiple (LCM) of 34362 and 34378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34362 and 34378. First we will calculate the prime factors of 34362 and 34378.

Prime Factorization of 34362

Prime Factorization of 34378

Now multiplying the highest exponent prime factors to calculate the LCM of 34362 and 34378.

LCM(34362,34378) = 2¹ × 3² × 23¹ × 83¹ × 17189¹
LCM(34362,34378) = 590648418