What is the Least Common Multiple of 39164 and 39168?

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 39164 and 39168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39164 and 39168, than apply into the LCM equation.

GCF(39164,39168) = 4
LCM(39164,39168) = ( 39164 × 39168) / 4
LCM(39164,39168) = 1533975552 / 4
LCM(39164,39168) = 383493888

Least Common Multiple (LCM) of 39164 and 39168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39164 and 39168. First we will calculate the prime factors of 39164 and 39168.

Prime Factorization of 39164

Prime Factorization of 39168

Now multiplying the highest exponent prime factors to calculate the LCM of 39164 and 39168.

LCM(39164,39168) = 2⁸ × 9791¹ × 3² × 17¹
LCM(39164,39168) = 383493888