What is the Least Common Multiple of 20175 and 20187?

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 20175 and 20187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20175 and 20187, than apply into the LCM equation.

GCF(20175,20187) = 3
LCM(20175,20187) = ( 20175 × 20187) / 3
LCM(20175,20187) = 407272725 / 3
LCM(20175,20187) = 135757575

Least Common Multiple (LCM) of 20175 and 20187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20175 and 20187. First we will calculate the prime factors of 20175 and 20187.

Prime Factorization of 20175

Prime Factorization of 20187

Now multiplying the highest exponent prime factors to calculate the LCM of 20175 and 20187.

LCM(20175,20187) = 3² × 5² × 269¹ × 2243¹
LCM(20175,20187) = 135757575