What is the Least Common Multiple of 29256 and 29274?

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 29274 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 29274, than apply into the LCM equation.

GCF(29256,29274) = 6
LCM(29256,29274) = ( 29256 × 29274) / 6
LCM(29256,29274) = 856440144 / 6
LCM(29256,29274) = 142740024

Least Common Multiple (LCM) of 29256 and 29274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29256 and 29274. First we will calculate the prime factors of 29256 and 29274.

Prime Factorization of 29256

Prime Factorization of 29274

Now multiplying the highest exponent prime factors to calculate the LCM of 29256 and 29274.

LCM(29256,29274) = 2³ × 3¹ × 23¹ × 53¹ × 7¹ × 17¹ × 41¹
LCM(29256,29274) = 142740024