What is the Least Common Multiple of 29338 and 29356?

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 29338 and 29356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29338 and 29356, than apply into the LCM equation.

GCF(29338,29356) = 2
LCM(29338,29356) = ( 29338 × 29356) / 2
LCM(29338,29356) = 861246328 / 2
LCM(29338,29356) = 430623164

Least Common Multiple (LCM) of 29338 and 29356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29338 and 29356. First we will calculate the prime factors of 29338 and 29356.

Prime Factorization of 29338

Prime Factorization of 29356

Now multiplying the highest exponent prime factors to calculate the LCM of 29338 and 29356.

LCM(29338,29356) = 2² × 14669¹ × 41¹ × 179¹
LCM(29338,29356) = 430623164