What is the Least Common Multiple of 29268 and 29280?

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 29268 and 29280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29268 and 29280, than apply into the LCM equation.

GCF(29268,29280) = 12
LCM(29268,29280) = ( 29268 × 29280) / 12
LCM(29268,29280) = 856967040 / 12
LCM(29268,29280) = 71413920

Least Common Multiple (LCM) of 29268 and 29280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29268 and 29280. First we will calculate the prime factors of 29268 and 29280.

Prime Factorization of 29268

Prime Factorization of 29280

Now multiplying the highest exponent prime factors to calculate the LCM of 29268 and 29280.

LCM(29268,29280) = 2⁵ × 3³ × 271¹ × 5¹ × 61¹
LCM(29268,29280) = 71413920