What is the Least Common Multiple of 34336 and 34356?

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 34356 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 34356, than apply into the LCM equation.

GCF(34336,34356) = 4
LCM(34336,34356) = ( 34336 × 34356) / 4
LCM(34336,34356) = 1179647616 / 4
LCM(34336,34356) = 294911904

Least Common Multiple (LCM) of 34336 and 34356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34336 and 34356. First we will calculate the prime factors of 34336 and 34356.

Prime Factorization of 34336

Prime Factorization of 34356

Now multiplying the highest exponent prime factors to calculate the LCM of 34336 and 34356.

LCM(34336,34356) = 2⁵ × 29¹ × 37¹ × 3¹ × 7¹ × 409¹
LCM(34336,34356) = 294911904