What is the Least Common Multiple of 5876 and 5891?

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 5876 and 5891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5876 and 5891, than apply into the LCM equation.

GCF(5876,5891) = 1
LCM(5876,5891) = ( 5876 × 5891) / 1
LCM(5876,5891) = 34615516 / 1
LCM(5876,5891) = 34615516

Least Common Multiple (LCM) of 5876 and 5891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5876 and 5891. First we will calculate the prime factors of 5876 and 5891.

Prime Factorization of 5876

Prime Factorization of 5891

Now multiplying the highest exponent prime factors to calculate the LCM of 5876 and 5891.

LCM(5876,5891) = 2² × 13¹ × 113¹ × 43¹ × 137¹
LCM(5876,5891) = 34615516