What is the Least Common Multiple of 20264 and 20281?

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 20264 and 20281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20264 and 20281, than apply into the LCM equation.

GCF(20264,20281) = 17
LCM(20264,20281) = ( 20264 × 20281) / 17
LCM(20264,20281) = 410974184 / 17
LCM(20264,20281) = 24174952

Least Common Multiple (LCM) of 20264 and 20281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20264 and 20281. First we will calculate the prime factors of 20264 and 20281.

Prime Factorization of 20264

Prime Factorization of 20281

Now multiplying the highest exponent prime factors to calculate the LCM of 20264 and 20281.

LCM(20264,20281) = 2³ × 17¹ × 149¹ × 1193¹
LCM(20264,20281) = 24174952