What is the Least Common Multiple of 6228 and 6234?

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 6228 and 6234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6228 and 6234, than apply into the LCM equation.

GCF(6228,6234) = 6
LCM(6228,6234) = ( 6228 × 6234) / 6
LCM(6228,6234) = 38825352 / 6
LCM(6228,6234) = 6470892

Least Common Multiple (LCM) of 6228 and 6234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6228 and 6234. First we will calculate the prime factors of 6228 and 6234.

Prime Factorization of 6228

Prime Factorization of 6234

Now multiplying the highest exponent prime factors to calculate the LCM of 6228 and 6234.

LCM(6228,6234) = 2² × 3² × 173¹ × 1039¹
LCM(6228,6234) = 6470892