What is the Least Common Multiple of 29312 and 29328?

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 29312 and 29328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29312 and 29328, than apply into the LCM equation.

GCF(29312,29328) = 16
LCM(29312,29328) = ( 29312 × 29328) / 16
LCM(29312,29328) = 859662336 / 16
LCM(29312,29328) = 53728896

Least Common Multiple (LCM) of 29312 and 29328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29312 and 29328. First we will calculate the prime factors of 29312 and 29328.

Prime Factorization of 29312

Prime Factorization of 29328

Now multiplying the highest exponent prime factors to calculate the LCM of 29312 and 29328.

LCM(29312,29328) = 2⁷ × 229¹ × 3¹ × 13¹ × 47¹
LCM(29312,29328) = 53728896