What is the Least Common Multiple of 29328 and 29344?

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 29344 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 29344, than apply into the LCM equation.

GCF(29328,29344) = 16
LCM(29328,29344) = ( 29328 × 29344) / 16
LCM(29328,29344) = 860600832 / 16
LCM(29328,29344) = 53787552

Least Common Multiple (LCM) of 29328 and 29344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29328 and 29344. First we will calculate the prime factors of 29328 and 29344.

Prime Factorization of 29328

Prime Factorization of 29344

Now multiplying the highest exponent prime factors to calculate the LCM of 29328 and 29344.

LCM(29328,29344) = 2⁵ × 3¹ × 13¹ × 47¹ × 7¹ × 131¹
LCM(29328,29344) = 53787552