What is the Least Common Multiple of 67175 and 67189?

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 67175 and 67189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67175 and 67189, than apply into the LCM equation.

GCF(67175,67189) = 1
LCM(67175,67189) = ( 67175 × 67189) / 1
LCM(67175,67189) = 4513421075 / 1
LCM(67175,67189) = 4513421075

Least Common Multiple (LCM) of 67175 and 67189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67175 and 67189. First we will calculate the prime factors of 67175 and 67189.

Prime Factorization of 67175

Prime Factorization of 67189

Now multiplying the highest exponent prime factors to calculate the LCM of 67175 and 67189.

LCM(67175,67189) = 5² × 2687¹ × 67189¹
LCM(67175,67189) = 4513421075