What is the Least Common Multiple of 34029 and 34044?

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 34029 and 34044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34029 and 34044, than apply into the LCM equation.

GCF(34029,34044) = 3
LCM(34029,34044) = ( 34029 × 34044) / 3
LCM(34029,34044) = 1158483276 / 3
LCM(34029,34044) = 386161092

Least Common Multiple (LCM) of 34029 and 34044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34029 and 34044. First we will calculate the prime factors of 34029 and 34044.

Prime Factorization of 34029

Prime Factorization of 34044

Now multiplying the highest exponent prime factors to calculate the LCM of 34029 and 34044.

LCM(34029,34044) = 3² × 19¹ × 199¹ × 2² × 2837¹
LCM(34029,34044) = 386161092