What is the Least Common Multiple of 39168 and 39178?

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 39178 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 39178, than apply into the LCM equation.

GCF(39168,39178) = 2
LCM(39168,39178) = ( 39168 × 39178) / 2
LCM(39168,39178) = 1534523904 / 2
LCM(39168,39178) = 767261952

Least Common Multiple (LCM) of 39168 and 39178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39168 and 39178. First we will calculate the prime factors of 39168 and 39178.

Prime Factorization of 39168

Prime Factorization of 39178

Now multiplying the highest exponent prime factors to calculate the LCM of 39168 and 39178.

LCM(39168,39178) = 2⁸ × 3² × 17¹ × 19¹ × 1031¹
LCM(39168,39178) = 767261952