What is the Least Common Multiple of 6168 and 6172?

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 6168 and 6172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6168 and 6172, than apply into the LCM equation.

GCF(6168,6172) = 4
LCM(6168,6172) = ( 6168 × 6172) / 4
LCM(6168,6172) = 38068896 / 4
LCM(6168,6172) = 9517224

Least Common Multiple (LCM) of 6168 and 6172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6172. First we will calculate the prime factors of 6168 and 6172.

Prime Factorization of 6168

Prime Factorization of 6172

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6172.

LCM(6168,6172) = 2³ × 3¹ × 257¹ × 1543¹
LCM(6168,6172) = 9517224