What is the Least Common Multiple of 6234 and 6238?

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 6234 and 6238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6234 and 6238, than apply into the LCM equation.

GCF(6234,6238) = 2
LCM(6234,6238) = ( 6234 × 6238) / 2
LCM(6234,6238) = 38887692 / 2
LCM(6234,6238) = 19443846

Least Common Multiple (LCM) of 6234 and 6238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6234 and 6238. First we will calculate the prime factors of 6234 and 6238.

Prime Factorization of 6234

Prime Factorization of 6238

Now multiplying the highest exponent prime factors to calculate the LCM of 6234 and 6238.

LCM(6234,6238) = 2¹ × 3¹ × 1039¹ × 3119¹
LCM(6234,6238) = 19443846