What is the Least Common Multiple of 20169 and 20175?

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 20169 and 20175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20169 and 20175, than apply into the LCM equation.

GCF(20169,20175) = 3
LCM(20169,20175) = ( 20169 × 20175) / 3
LCM(20169,20175) = 406909575 / 3
LCM(20169,20175) = 135636525

Least Common Multiple (LCM) of 20169 and 20175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20169 and 20175. First we will calculate the prime factors of 20169 and 20175.

Prime Factorization of 20169

Prime Factorization of 20175

Now multiplying the highest exponent prime factors to calculate the LCM of 20169 and 20175.

LCM(20169,20175) = 3⁵ × 83¹ × 5² × 269¹
LCM(20169,20175) = 135636525