What is the Least Common Multiple of 12168 and 12172?

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 12168 and 12172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12168 and 12172, than apply into the LCM equation.

GCF(12168,12172) = 4
LCM(12168,12172) = ( 12168 × 12172) / 4
LCM(12168,12172) = 148108896 / 4
LCM(12168,12172) = 37027224

Least Common Multiple (LCM) of 12168 and 12172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12168 and 12172. First we will calculate the prime factors of 12168 and 12172.

Prime Factorization of 12168

Prime Factorization of 12172

Now multiplying the highest exponent prime factors to calculate the LCM of 12168 and 12172.

LCM(12168,12172) = 2³ × 3² × 13² × 17¹ × 179¹
LCM(12168,12172) = 37027224