What is the Least Common Multiple of 47505 and 47520?

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 47505 and 47520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47505 and 47520, than apply into the LCM equation.

GCF(47505,47520) = 15
LCM(47505,47520) = ( 47505 × 47520) / 15
LCM(47505,47520) = 2257437600 / 15
LCM(47505,47520) = 150495840

Least Common Multiple (LCM) of 47505 and 47520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47505 and 47520. First we will calculate the prime factors of 47505 and 47520.

Prime Factorization of 47505

Prime Factorization of 47520

Now multiplying the highest exponent prime factors to calculate the LCM of 47505 and 47520.

LCM(47505,47520) = 3³ × 5¹ × 3167¹ × 2⁵ × 11¹
LCM(47505,47520) = 150495840