What is the Least Common Multiple of 29328 and 29341?

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 29328 and 29341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29328 and 29341, than apply into the LCM equation.

GCF(29328,29341) = 13
LCM(29328,29341) = ( 29328 × 29341) / 13
LCM(29328,29341) = 860512848 / 13
LCM(29328,29341) = 66193296

Least Common Multiple (LCM) of 29328 and 29341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29328 and 29341. First we will calculate the prime factors of 29328 and 29341.

Prime Factorization of 29328

Prime Factorization of 29341

Now multiplying the highest exponent prime factors to calculate the LCM of 29328 and 29341.

LCM(29328,29341) = 2⁴ × 3¹ × 13¹ × 47¹ × 37¹ × 61¹
LCM(29328,29341) = 66193296