What is the Least Common Multiple of 34336 and 34342?

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 34336 and 34342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34336 and 34342, than apply into the LCM equation.

GCF(34336,34342) = 2
LCM(34336,34342) = ( 34336 × 34342) / 2
LCM(34336,34342) = 1179166912 / 2
LCM(34336,34342) = 589583456

Least Common Multiple (LCM) of 34336 and 34342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34336 and 34342. First we will calculate the prime factors of 34336 and 34342.

Prime Factorization of 34336

Prime Factorization of 34342

Now multiplying the highest exponent prime factors to calculate the LCM of 34336 and 34342.

LCM(34336,34342) = 2⁵ × 29¹ × 37¹ × 7¹ × 11¹ × 223¹
LCM(34336,34342) = 589583456