What is the Least Common Multiple of 34068 and 34074?

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 34068 and 34074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34068 and 34074, than apply into the LCM equation.

GCF(34068,34074) = 6
LCM(34068,34074) = ( 34068 × 34074) / 6
LCM(34068,34074) = 1160833032 / 6
LCM(34068,34074) = 193472172

Least Common Multiple (LCM) of 34068 and 34074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34068 and 34074. First we will calculate the prime factors of 34068 and 34074.

Prime Factorization of 34068

Prime Factorization of 34074

Now multiplying the highest exponent prime factors to calculate the LCM of 34068 and 34074.

LCM(34068,34074) = 2² × 3³ × 17¹ × 167¹ × 631¹
LCM(34068,34074) = 193472172