What is the Least Common Multiple of 74178 and 74195?

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 74195 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 74195, than apply into the LCM equation.

GCF(74178,74195) = 1
LCM(74178,74195) = ( 74178 × 74195) / 1
LCM(74178,74195) = 5503636710 / 1
LCM(74178,74195) = 5503636710

Least Common Multiple (LCM) of 74178 and 74195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74178 and 74195. First we will calculate the prime factors of 74178 and 74195.

Prime Factorization of 74178

Prime Factorization of 74195

Now multiplying the highest exponent prime factors to calculate the LCM of 74178 and 74195.

LCM(74178,74195) = 2¹ × 3² × 13¹ × 317¹ × 5¹ × 11¹ × 19¹ × 71¹
LCM(74178,74195) = 5503636710