What is the Least Common Multiple of 35175 and 35189?

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 35175 and 35189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35175 and 35189, than apply into the LCM equation.

GCF(35175,35189) = 7
LCM(35175,35189) = ( 35175 × 35189) / 7
LCM(35175,35189) = 1237773075 / 7
LCM(35175,35189) = 176824725

Least Common Multiple (LCM) of 35175 and 35189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35175 and 35189. First we will calculate the prime factors of 35175 and 35189.

Prime Factorization of 35175

Prime Factorization of 35189

Now multiplying the highest exponent prime factors to calculate the LCM of 35175 and 35189.

LCM(35175,35189) = 3¹ × 5² × 7¹ × 67¹ × 11¹ × 457¹
LCM(35175,35189) = 176824725