What is the Least Common Multiple of 74178 and 74194?

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 74178 and 74194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74178 and 74194, than apply into the LCM equation.

GCF(74178,74194) = 2
LCM(74178,74194) = ( 74178 × 74194) / 2
LCM(74178,74194) = 5503562532 / 2
LCM(74178,74194) = 2751781266

Least Common Multiple (LCM) of 74178 and 74194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74178 and 74194. First we will calculate the prime factors of 74178 and 74194.

Prime Factorization of 74178

Prime Factorization of 74194

Now multiplying the highest exponent prime factors to calculate the LCM of 74178 and 74194.

LCM(74178,74194) = 2¹ × 3² × 13¹ × 317¹ × 37097¹
LCM(74178,74194) = 2751781266