What is the Least Common Multiple of 74174 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 74174 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 74174 and 74178, than apply into the LCM equation.

GCF(74174,74178) = 2
LCM(74174,74178) = ( 74174 × 74178) / 2
LCM(74174,74178) = 5502078972 / 2
LCM(74174,74178) = 2751039486

Least Common Multiple (LCM) of 74174 and 74178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74174 and 74178. First we will calculate the prime factors of 74174 and 74178.

Prime Factorization of 74174

Prime Factorization of 74178

Now multiplying the highest exponent prime factors to calculate the LCM of 74174 and 74178.

LCM(74174,74178) = 2¹ × 37087¹ × 3² × 13¹ × 317¹
LCM(74174,74178) = 2751039486