What is the Least Common Multiple of 47084 and 47089?

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 47084 and 47089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47084 and 47089, than apply into the LCM equation.

GCF(47084,47089) = 1
LCM(47084,47089) = ( 47084 × 47089) / 1
LCM(47084,47089) = 2217138476 / 1
LCM(47084,47089) = 2217138476

Least Common Multiple (LCM) of 47084 and 47089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47084 and 47089. First we will calculate the prime factors of 47084 and 47089.

Prime Factorization of 47084

Prime Factorization of 47089

Now multiplying the highest exponent prime factors to calculate the LCM of 47084 and 47089.

LCM(47084,47089) = 2² × 79¹ × 149¹ × 7² × 31²
LCM(47084,47089) = 2217138476