What is the Least Common Multiple of 34038 and 34056?

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 34038 and 34056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34038 and 34056, than apply into the LCM equation.

GCF(34038,34056) = 18
LCM(34038,34056) = ( 34038 × 34056) / 18
LCM(34038,34056) = 1159198128 / 18
LCM(34038,34056) = 64399896

Least Common Multiple (LCM) of 34038 and 34056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34038 and 34056. First we will calculate the prime factors of 34038 and 34056.

Prime Factorization of 34038

Prime Factorization of 34056

Now multiplying the highest exponent prime factors to calculate the LCM of 34038 and 34056.

LCM(34038,34056) = 2³ × 3² × 31¹ × 61¹ × 11¹ × 43¹
LCM(34038,34056) = 64399896