What is the Least Common Multiple of 74175 and 74185?

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 74175 and 74185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74175 and 74185, than apply into the LCM equation.

GCF(74175,74185) = 5
LCM(74175,74185) = ( 74175 × 74185) / 5
LCM(74175,74185) = 5502672375 / 5
LCM(74175,74185) = 1100534475

Least Common Multiple (LCM) of 74175 and 74185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74175 and 74185. First we will calculate the prime factors of 74175 and 74185.

Prime Factorization of 74175

Prime Factorization of 74185

Now multiplying the highest exponent prime factors to calculate the LCM of 74175 and 74185.

LCM(74175,74185) = 3¹ × 5² × 23¹ × 43¹ × 37¹ × 401¹
LCM(74175,74185) = 1100534475