What is the Least Common Multiple of 29040 and 29055?

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 29040 and 29055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29040 and 29055, than apply into the LCM equation.

GCF(29040,29055) = 15
LCM(29040,29055) = ( 29040 × 29055) / 15
LCM(29040,29055) = 843757200 / 15
LCM(29040,29055) = 56250480

Least Common Multiple (LCM) of 29040 and 29055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29040 and 29055. First we will calculate the prime factors of 29040 and 29055.

Prime Factorization of 29040

Prime Factorization of 29055

Now multiplying the highest exponent prime factors to calculate the LCM of 29040 and 29055.

LCM(29040,29055) = 2⁴ × 3¹ × 5¹ × 11² × 13¹ × 149¹
LCM(29040,29055) = 56250480