What is the Least Common Multiple of 39168 and 39186?

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 39168 and 39186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39168 and 39186, than apply into the LCM equation.

GCF(39168,39186) = 18
LCM(39168,39186) = ( 39168 × 39186) / 18
LCM(39168,39186) = 1534837248 / 18
LCM(39168,39186) = 85268736

Least Common Multiple (LCM) of 39168 and 39186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39168 and 39186. First we will calculate the prime factors of 39168 and 39186.

Prime Factorization of 39168

Prime Factorization of 39186

Now multiplying the highest exponent prime factors to calculate the LCM of 39168 and 39186.

LCM(39168,39186) = 2⁸ × 3² × 17¹ × 7¹ × 311¹
LCM(39168,39186) = 85268736