What is the Least Common Multiple of 74175 and 74180?

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 74180 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 74180, than apply into the LCM equation.

GCF(74175,74180) = 5
LCM(74175,74180) = ( 74175 × 74180) / 5
LCM(74175,74180) = 5502301500 / 5
LCM(74175,74180) = 1100460300

Least Common Multiple (LCM) of 74175 and 74180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74175 and 74180. First we will calculate the prime factors of 74175 and 74180.

Prime Factorization of 74175

Prime Factorization of 74180

Now multiplying the highest exponent prime factors to calculate the LCM of 74175 and 74180.

LCM(74175,74180) = 3¹ × 5² × 23¹ × 43¹ × 2² × 3709¹
LCM(74175,74180) = 1100460300