What is the Least Common Multiple of 47832 and 47849?

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 47849 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 47849, than apply into the LCM equation.

GCF(47832,47849) = 1
LCM(47832,47849) = ( 47832 × 47849) / 1
LCM(47832,47849) = 2288713368 / 1
LCM(47832,47849) = 2288713368

Least Common Multiple (LCM) of 47832 and 47849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47832 and 47849. First we will calculate the prime factors of 47832 and 47849.

Prime Factorization of 47832

Prime Factorization of 47849

Now multiplying the highest exponent prime factors to calculate the LCM of 47832 and 47849.

LCM(47832,47849) = 2³ × 3¹ × 1993¹ × 59¹ × 811¹
LCM(47832,47849) = 2288713368