What is the Least Common Multiple of 6123 and 6143?

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 6123 and 6143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6123 and 6143, than apply into the LCM equation.

GCF(6123,6143) = 1
LCM(6123,6143) = ( 6123 × 6143) / 1
LCM(6123,6143) = 37613589 / 1
LCM(6123,6143) = 37613589

Least Common Multiple (LCM) of 6123 and 6143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6123 and 6143. First we will calculate the prime factors of 6123 and 6143.

Prime Factorization of 6123

Prime Factorization of 6143

Now multiplying the highest exponent prime factors to calculate the LCM of 6123 and 6143.

LCM(6123,6143) = 3¹ × 13¹ × 157¹ × 6143¹
LCM(6123,6143) = 37613589