What is the Least Common Multiple of 5682 and 5691?

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 5682 and 5691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5682 and 5691, than apply into the LCM equation.

GCF(5682,5691) = 3
LCM(5682,5691) = ( 5682 × 5691) / 3
LCM(5682,5691) = 32336262 / 3
LCM(5682,5691) = 10778754

Least Common Multiple (LCM) of 5682 and 5691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5682 and 5691. First we will calculate the prime factors of 5682 and 5691.

Prime Factorization of 5682

Prime Factorization of 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 5682 and 5691.

LCM(5682,5691) = 2¹ × 3¹ × 947¹ × 7¹ × 271¹
LCM(5682,5691) = 10778754