What is the Least Common Multiple of 6231 and 6241?

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 6231 and 6241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6231 and 6241, than apply into the LCM equation.

GCF(6231,6241) = 1
LCM(6231,6241) = ( 6231 × 6241) / 1
LCM(6231,6241) = 38887671 / 1
LCM(6231,6241) = 38887671

Least Common Multiple (LCM) of 6231 and 6241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6231 and 6241. First we will calculate the prime factors of 6231 and 6241.

Prime Factorization of 6231

Prime Factorization of 6241

Now multiplying the highest exponent prime factors to calculate the LCM of 6231 and 6241.

LCM(6231,6241) = 3¹ × 31¹ × 67¹ × 79²
LCM(6231,6241) = 38887671