What is the Least Common Multiple of 34428 and 34444?

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 34428 and 34444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34428 and 34444, than apply into the LCM equation.

GCF(34428,34444) = 4
LCM(34428,34444) = ( 34428 × 34444) / 4
LCM(34428,34444) = 1185838032 / 4
LCM(34428,34444) = 296459508

Least Common Multiple (LCM) of 34428 and 34444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34428 and 34444. First we will calculate the prime factors of 34428 and 34444.

Prime Factorization of 34428

Prime Factorization of 34444

Now multiplying the highest exponent prime factors to calculate the LCM of 34428 and 34444.

LCM(34428,34444) = 2² × 3¹ × 19¹ × 151¹ × 79¹ × 109¹
LCM(34428,34444) = 296459508