What is the Least Common Multiple of 5876 and 5896?

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 5896 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 5896, than apply into the LCM equation.

GCF(5876,5896) = 4
LCM(5876,5896) = ( 5876 × 5896) / 4
LCM(5876,5896) = 34644896 / 4
LCM(5876,5896) = 8661224

Least Common Multiple (LCM) of 5876 and 5896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5876 and 5896. First we will calculate the prime factors of 5876 and 5896.

Prime Factorization of 5876

Prime Factorization of 5896

Now multiplying the highest exponent prime factors to calculate the LCM of 5876 and 5896.

LCM(5876,5896) = 2³ × 13¹ × 113¹ × 11¹ × 67¹
LCM(5876,5896) = 8661224