What is the Least Common Multiple of 6222 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 6222 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 6222 and 6234, than apply into the LCM equation.

GCF(6222,6234) = 6
LCM(6222,6234) = ( 6222 × 6234) / 6
LCM(6222,6234) = 38787948 / 6
LCM(6222,6234) = 6464658

Least Common Multiple (LCM) of 6222 and 6234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6222 and 6234. First we will calculate the prime factors of 6222 and 6234.

Prime Factorization of 6222

Prime Factorization of 6234

Now multiplying the highest exponent prime factors to calculate the LCM of 6222 and 6234.

LCM(6222,6234) = 2¹ × 3¹ × 17¹ × 61¹ × 1039¹
LCM(6222,6234) = 6464658