What is the Least Common Multiple of 47847 and 47857?

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 47847 and 47857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47847 and 47857, than apply into the LCM equation.

GCF(47847,47857) = 1
LCM(47847,47857) = ( 47847 × 47857) / 1
LCM(47847,47857) = 2289813879 / 1
LCM(47847,47857) = 2289813879

Least Common Multiple (LCM) of 47847 and 47857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47847 and 47857. First we will calculate the prime factors of 47847 and 47857.

Prime Factorization of 47847

Prime Factorization of 47857

Now multiplying the highest exponent prime factors to calculate the LCM of 47847 and 47857.

LCM(47847,47857) = 3¹ × 41¹ × 389¹ × 47857¹
LCM(47847,47857) = 2289813879