What is the Least Common Multiple of 74175 and 74189?

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 74189 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 74189, than apply into the LCM equation.

GCF(74175,74189) = 1
LCM(74175,74189) = ( 74175 × 74189) / 1
LCM(74175,74189) = 5502969075 / 1
LCM(74175,74189) = 5502969075

Least Common Multiple (LCM) of 74175 and 74189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74175 and 74189. First we will calculate the prime factors of 74175 and 74189.

Prime Factorization of 74175

Prime Factorization of 74189

Now multiplying the highest exponent prime factors to calculate the LCM of 74175 and 74189.

LCM(74175,74189) = 3¹ × 5² × 23¹ × 43¹ × 74189¹
LCM(74175,74189) = 5502969075