What is the Least Common Multiple of 47832 and 47847?

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 47832 and 47847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47832 and 47847, than apply into the LCM equation.

GCF(47832,47847) = 3
LCM(47832,47847) = ( 47832 × 47847) / 3
LCM(47832,47847) = 2288617704 / 3
LCM(47832,47847) = 762872568

Least Common Multiple (LCM) of 47832 and 47847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47832 and 47847. First we will calculate the prime factors of 47832 and 47847.

Prime Factorization of 47832

Prime Factorization of 47847

Now multiplying the highest exponent prime factors to calculate the LCM of 47832 and 47847.

LCM(47832,47847) = 2³ × 3¹ × 1993¹ × 41¹ × 389¹
LCM(47832,47847) = 762872568