What is the Least Common Multiple of 29321 and 29339?

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 29321 and 29339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29321 and 29339, than apply into the LCM equation.

GCF(29321,29339) = 1
LCM(29321,29339) = ( 29321 × 29339) / 1
LCM(29321,29339) = 860248819 / 1
LCM(29321,29339) = 860248819

Least Common Multiple (LCM) of 29321 and 29339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29321 and 29339. First we will calculate the prime factors of 29321 and 29339.

Prime Factorization of 29321

Prime Factorization of 29339

Now multiplying the highest exponent prime factors to calculate the LCM of 29321 and 29339.

LCM(29321,29339) = 109¹ × 269¹ × 29339¹
LCM(29321,29339) = 860248819