What is the Least Common Multiple of 29505 and 29520?

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 29505 and 29520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29505 and 29520, than apply into the LCM equation.

GCF(29505,29520) = 15
LCM(29505,29520) = ( 29505 × 29520) / 15
LCM(29505,29520) = 870987600 / 15
LCM(29505,29520) = 58065840

Least Common Multiple (LCM) of 29505 and 29520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29505 and 29520. First we will calculate the prime factors of 29505 and 29520.

Prime Factorization of 29505

Prime Factorization of 29520

Now multiplying the highest exponent prime factors to calculate the LCM of 29505 and 29520.

LCM(29505,29520) = 3² × 5¹ × 7¹ × 281¹ × 2⁴ × 41¹
LCM(29505,29520) = 58065840