What is the Least Common Multiple of 74165 and 74178?

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 74165 and 74178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74165 and 74178, than apply into the LCM equation.

GCF(74165,74178) = 13
LCM(74165,74178) = ( 74165 × 74178) / 13
LCM(74165,74178) = 5501411370 / 13
LCM(74165,74178) = 423185490

Least Common Multiple (LCM) of 74165 and 74178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74165 and 74178. First we will calculate the prime factors of 74165 and 74178.

Prime Factorization of 74165

Prime Factorization of 74178

Now multiplying the highest exponent prime factors to calculate the LCM of 74165 and 74178.

LCM(74165,74178) = 5¹ × 7¹ × 13¹ × 163¹ × 2¹ × 3² × 317¹
LCM(74165,74178) = 423185490