What is the Least Common Multiple of 6234 and 6242?

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 6242 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 6242, than apply into the LCM equation.

GCF(6234,6242) = 2
LCM(6234,6242) = ( 6234 × 6242) / 2
LCM(6234,6242) = 38912628 / 2
LCM(6234,6242) = 19456314

Least Common Multiple (LCM) of 6234 and 6242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6234 and 6242. First we will calculate the prime factors of 6234 and 6242.

Prime Factorization of 6234

Prime Factorization of 6242

Now multiplying the highest exponent prime factors to calculate the LCM of 6234 and 6242.

LCM(6234,6242) = 2¹ × 3¹ × 1039¹ × 3121¹
LCM(6234,6242) = 19456314