What is the Least Common Multiple of 29505 and 29512?

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 29512 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 29512, than apply into the LCM equation.

GCF(29505,29512) = 7
LCM(29505,29512) = ( 29505 × 29512) / 7
LCM(29505,29512) = 870751560 / 7
LCM(29505,29512) = 124393080

Least Common Multiple (LCM) of 29505 and 29512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29505 and 29512. First we will calculate the prime factors of 29505 and 29512.

Prime Factorization of 29505

Prime Factorization of 29512

Now multiplying the highest exponent prime factors to calculate the LCM of 29505 and 29512.

LCM(29505,29512) = 3¹ × 5¹ × 7¹ × 281¹ × 2³ × 17¹ × 31¹
LCM(29505,29512) = 124393080