What is the Least Common Multiple of 29256 and 29263?

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 29256 and 29263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29256 and 29263, than apply into the LCM equation.

GCF(29256,29263) = 1
LCM(29256,29263) = ( 29256 × 29263) / 1
LCM(29256,29263) = 856118328 / 1
LCM(29256,29263) = 856118328

Least Common Multiple (LCM) of 29256 and 29263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29256 and 29263. First we will calculate the prime factors of 29256 and 29263.

Prime Factorization of 29256

Prime Factorization of 29263

Now multiplying the highest exponent prime factors to calculate the LCM of 29256 and 29263.

LCM(29256,29263) = 2³ × 3¹ × 23¹ × 53¹ × 13¹ × 2251¹
LCM(29256,29263) = 856118328