What is the Least Common Multiple of 5677 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 5677 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 5677 and 5691, than apply into the LCM equation.

GCF(5677,5691) = 7
LCM(5677,5691) = ( 5677 × 5691) / 7
LCM(5677,5691) = 32307807 / 7
LCM(5677,5691) = 4615401

Least Common Multiple (LCM) of 5677 and 5691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5677 and 5691. First we will calculate the prime factors of 5677 and 5691.

Prime Factorization of 5677

Prime Factorization of 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 5677 and 5691.

LCM(5677,5691) = 7¹ × 811¹ × 3¹ × 271¹
LCM(5677,5691) = 4615401