What is the Least Common Multiple of 20165 and 20173?

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 20165 and 20173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20165 and 20173, than apply into the LCM equation.

GCF(20165,20173) = 1
LCM(20165,20173) = ( 20165 × 20173) / 1
LCM(20165,20173) = 406788545 / 1
LCM(20165,20173) = 406788545

Least Common Multiple (LCM) of 20165 and 20173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20165 and 20173. First we will calculate the prime factors of 20165 and 20173.

Prime Factorization of 20165

Prime Factorization of 20173

Now multiplying the highest exponent prime factors to calculate the LCM of 20165 and 20173.

LCM(20165,20173) = 5¹ × 37¹ × 109¹ × 20173¹
LCM(20165,20173) = 406788545