What is the Least Common Multiple of 6168 and 6176?

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 6176 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 6176, than apply into the LCM equation.

GCF(6168,6176) = 8
LCM(6168,6176) = ( 6168 × 6176) / 8
LCM(6168,6176) = 38093568 / 8
LCM(6168,6176) = 4761696

Least Common Multiple (LCM) of 6168 and 6176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6176. First we will calculate the prime factors of 6168 and 6176.

Prime Factorization of 6168

Prime Factorization of 6176

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6176.

LCM(6168,6176) = 2⁵ × 3¹ × 257¹ × 193¹
LCM(6168,6176) = 4761696