What is the Least Common Multiple of 29296 and 29304?

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 29296 and 29304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29296 and 29304, than apply into the LCM equation.

GCF(29296,29304) = 8
LCM(29296,29304) = ( 29296 × 29304) / 8
LCM(29296,29304) = 858489984 / 8
LCM(29296,29304) = 107311248

Least Common Multiple (LCM) of 29296 and 29304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29296 and 29304. First we will calculate the prime factors of 29296 and 29304.

Prime Factorization of 29296

Prime Factorization of 29304

Now multiplying the highest exponent prime factors to calculate the LCM of 29296 and 29304.

LCM(29296,29304) = 2⁴ × 1831¹ × 3² × 11¹ × 37¹
LCM(29296,29304) = 107311248