What is the Least Common Multiple of 3676 and 3691?

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 3676 and 3691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3676 and 3691, than apply into the LCM equation.

GCF(3676,3691) = 1
LCM(3676,3691) = ( 3676 × 3691) / 1
LCM(3676,3691) = 13568116 / 1
LCM(3676,3691) = 13568116

Least Common Multiple (LCM) of 3676 and 3691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3676 and 3691. First we will calculate the prime factors of 3676 and 3691.

Prime Factorization of 3676

Prime Factorization of 3691

Now multiplying the highest exponent prime factors to calculate the LCM of 3676 and 3691.

LCM(3676,3691) = 2² × 919¹ × 3691¹
LCM(3676,3691) = 13568116