What is the Least Common Multiple of 6137 and 6141?

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 6137 and 6141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6137 and 6141, than apply into the LCM equation.

GCF(6137,6141) = 1
LCM(6137,6141) = ( 6137 × 6141) / 1
LCM(6137,6141) = 37687317 / 1
LCM(6137,6141) = 37687317

Least Common Multiple (LCM) of 6137 and 6141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6137 and 6141. First we will calculate the prime factors of 6137 and 6141.

Prime Factorization of 6137

Prime Factorization of 6141

Now multiplying the highest exponent prime factors to calculate the LCM of 6137 and 6141.

LCM(6137,6141) = 17¹ × 19² × 3¹ × 23¹ × 89¹
LCM(6137,6141) = 37687317