What is the Least Common Multiple of 1591 and 1611?

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 1591 and 1611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1591 and 1611, than apply into the LCM equation.

GCF(1591,1611) = 1
LCM(1591,1611) = ( 1591 × 1611) / 1
LCM(1591,1611) = 2563101 / 1
LCM(1591,1611) = 2563101

Least Common Multiple (LCM) of 1591 and 1611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1591 and 1611. First we will calculate the prime factors of 1591 and 1611.

Prime Factorization of 1591

Prime Factorization of 1611

Now multiplying the highest exponent prime factors to calculate the LCM of 1591 and 1611.

LCM(1591,1611) = 37¹ × 43¹ × 3² × 179¹
LCM(1591,1611) = 2563101