What is the Least Common Multiple of 29319 and 29338?

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 29319 and 29338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29319 and 29338, than apply into the LCM equation.

GCF(29319,29338) = 1
LCM(29319,29338) = ( 29319 × 29338) / 1
LCM(29319,29338) = 860160822 / 1
LCM(29319,29338) = 860160822

Least Common Multiple (LCM) of 29319 and 29338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29319 and 29338. First we will calculate the prime factors of 29319 and 29338.

Prime Factorization of 29319

Prime Factorization of 29338

Now multiplying the highest exponent prime factors to calculate the LCM of 29319 and 29338.

LCM(29319,29338) = 3¹ × 29¹ × 337¹ × 2¹ × 14669¹
LCM(29319,29338) = 860160822