What is the Least Common Multiple of 5768 and 5786?

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 5768 and 5786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5768 and 5786, than apply into the LCM equation.

GCF(5768,5786) = 2
LCM(5768,5786) = ( 5768 × 5786) / 2
LCM(5768,5786) = 33373648 / 2
LCM(5768,5786) = 16686824

Least Common Multiple (LCM) of 5768 and 5786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5768 and 5786. First we will calculate the prime factors of 5768 and 5786.

Prime Factorization of 5768

Prime Factorization of 5786

Now multiplying the highest exponent prime factors to calculate the LCM of 5768 and 5786.

LCM(5768,5786) = 2³ × 7¹ × 103¹ × 11¹ × 263¹
LCM(5768,5786) = 16686824