What is the Least Common Multiple of 29440 and 29445?

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 29440 and 29445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29440 and 29445, than apply into the LCM equation.

GCF(29440,29445) = 5
LCM(29440,29445) = ( 29440 × 29445) / 5
LCM(29440,29445) = 866860800 / 5
LCM(29440,29445) = 173372160

Least Common Multiple (LCM) of 29440 and 29445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29440 and 29445. First we will calculate the prime factors of 29440 and 29445.

Prime Factorization of 29440

Prime Factorization of 29445

Now multiplying the highest exponent prime factors to calculate the LCM of 29440 and 29445.

LCM(29440,29445) = 2⁸ × 5¹ × 23¹ × 3¹ × 13¹ × 151¹
LCM(29440,29445) = 173372160