What is the Least Common Multiple of 3591 and 3611?

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 3591 and 3611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3591 and 3611, than apply into the LCM equation.

GCF(3591,3611) = 1
LCM(3591,3611) = ( 3591 × 3611) / 1
LCM(3591,3611) = 12967101 / 1
LCM(3591,3611) = 12967101

Least Common Multiple (LCM) of 3591 and 3611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3591 and 3611. First we will calculate the prime factors of 3591 and 3611.

Prime Factorization of 3591

Prime Factorization of 3611

Now multiplying the highest exponent prime factors to calculate the LCM of 3591 and 3611.

LCM(3591,3611) = 3³ × 7¹ × 19¹ × 23¹ × 157¹
LCM(3591,3611) = 12967101