What is the Least Common Multiple of 34344 and 34350?

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 34344 and 34350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34344 and 34350, than apply into the LCM equation.

GCF(34344,34350) = 6
LCM(34344,34350) = ( 34344 × 34350) / 6
LCM(34344,34350) = 1179716400 / 6
LCM(34344,34350) = 196619400

Least Common Multiple (LCM) of 34344 and 34350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34344 and 34350. First we will calculate the prime factors of 34344 and 34350.

Prime Factorization of 34344

Prime Factorization of 34350

Now multiplying the highest exponent prime factors to calculate the LCM of 34344 and 34350.

LCM(34344,34350) = 2³ × 3⁴ × 53¹ × 5² × 229¹
LCM(34344,34350) = 196619400