What is the Least Common Multiple of 47013 and 47032?

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 47013 and 47032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47013 and 47032, than apply into the LCM equation.

GCF(47013,47032) = 1
LCM(47013,47032) = ( 47013 × 47032) / 1
LCM(47013,47032) = 2211115416 / 1
LCM(47013,47032) = 2211115416

Least Common Multiple (LCM) of 47013 and 47032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47013 and 47032. First we will calculate the prime factors of 47013 and 47032.

Prime Factorization of 47013

Prime Factorization of 47032

Now multiplying the highest exponent prime factors to calculate the LCM of 47013 and 47032.

LCM(47013,47032) = 3¹ × 15671¹ × 2³ × 5879¹
LCM(47013,47032) = 2211115416