What is the Least Common Multiple of 47855 and 47872?

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 47855 and 47872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47855 and 47872, than apply into the LCM equation.

GCF(47855,47872) = 17
LCM(47855,47872) = ( 47855 × 47872) / 17
LCM(47855,47872) = 2290914560 / 17
LCM(47855,47872) = 134759680

Least Common Multiple (LCM) of 47855 and 47872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47855 and 47872. First we will calculate the prime factors of 47855 and 47872.

Prime Factorization of 47855

Prime Factorization of 47872

Now multiplying the highest exponent prime factors to calculate the LCM of 47855 and 47872.

LCM(47855,47872) = 5¹ × 17¹ × 563¹ × 2⁸ × 11¹
LCM(47855,47872) = 134759680