What is the Least Common Multiple of 29317 and 29336?

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 29317 and 29336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29317 and 29336, than apply into the LCM equation.

GCF(29317,29336) = 19
LCM(29317,29336) = ( 29317 × 29336) / 19
LCM(29317,29336) = 860043512 / 19
LCM(29317,29336) = 45265448

Least Common Multiple (LCM) of 29317 and 29336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29317 and 29336. First we will calculate the prime factors of 29317 and 29336.

Prime Factorization of 29317

Prime Factorization of 29336

Now multiplying the highest exponent prime factors to calculate the LCM of 29317 and 29336.

LCM(29317,29336) = 19¹ × 1543¹ × 2³ × 193¹
LCM(29317,29336) = 45265448