What is the Least Common Multiple of 75145 and 75165?

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 75145 and 75165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75145 and 75165, than apply into the LCM equation.

GCF(75145,75165) = 5
LCM(75145,75165) = ( 75145 × 75165) / 5
LCM(75145,75165) = 5648273925 / 5
LCM(75145,75165) = 1129654785

Least Common Multiple (LCM) of 75145 and 75165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75145 and 75165. First we will calculate the prime factors of 75145 and 75165.

Prime Factorization of 75145

Prime Factorization of 75165

Now multiplying the highest exponent prime factors to calculate the LCM of 75145 and 75165.

LCM(75145,75165) = 5¹ × 7¹ × 19¹ × 113¹ × 3¹ × 5011¹
LCM(75145,75165) = 1129654785