What is the Least Common Multiple of 6141 and 6161?

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 6141 and 6161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6141 and 6161, than apply into the LCM equation.

GCF(6141,6161) = 1
LCM(6141,6161) = ( 6141 × 6161) / 1
LCM(6141,6161) = 37834701 / 1
LCM(6141,6161) = 37834701

Least Common Multiple (LCM) of 6141 and 6161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6141 and 6161. First we will calculate the prime factors of 6141 and 6161.

Prime Factorization of 6141

Prime Factorization of 6161

Now multiplying the highest exponent prime factors to calculate the LCM of 6141 and 6161.

LCM(6141,6161) = 3¹ × 23¹ × 89¹ × 61¹ × 101¹
LCM(6141,6161) = 37834701