What is the Least Common Multiple of 20144 and 20161?

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 20144 and 20161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20144 and 20161, than apply into the LCM equation.

GCF(20144,20161) = 1
LCM(20144,20161) = ( 20144 × 20161) / 1
LCM(20144,20161) = 406123184 / 1
LCM(20144,20161) = 406123184

Least Common Multiple (LCM) of 20144 and 20161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20144 and 20161. First we will calculate the prime factors of 20144 and 20161.

Prime Factorization of 20144

Prime Factorization of 20161

Now multiplying the highest exponent prime factors to calculate the LCM of 20144 and 20161.

LCM(20144,20161) = 2⁴ × 1259¹ × 20161¹
LCM(20144,20161) = 406123184