What is the Least Common Multiple of 20173 and 20180?

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 20173 and 20180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20173 and 20180, than apply into the LCM equation.

GCF(20173,20180) = 1
LCM(20173,20180) = ( 20173 × 20180) / 1
LCM(20173,20180) = 407091140 / 1
LCM(20173,20180) = 407091140

Least Common Multiple (LCM) of 20173 and 20180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20173 and 20180. First we will calculate the prime factors of 20173 and 20180.

Prime Factorization of 20173

Prime Factorization of 20180

Now multiplying the highest exponent prime factors to calculate the LCM of 20173 and 20180.

LCM(20173,20180) = 20173¹ × 2² × 5¹ × 1009¹
LCM(20173,20180) = 407091140