What is the Least Common Multiple of 10165 and 10175?

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 10165 and 10175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10175, than apply into the LCM equation.

GCF(10165,10175) = 5
LCM(10165,10175) = ( 10165 × 10175) / 5
LCM(10165,10175) = 103428875 / 5
LCM(10165,10175) = 20685775

Least Common Multiple (LCM) of 10165 and 10175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10175. First we will calculate the prime factors of 10165 and 10175.

Prime Factorization of 10165

Prime Factorization of 10175

Now multiplying the highest exponent prime factors to calculate the LCM of 10165 and 10175.

LCM(10165,10175) = 5² × 19¹ × 107¹ × 11¹ × 37¹
LCM(10165,10175) = 20685775