What is the Least Common Multiple of 20265 and 20275?

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 20265 and 20275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20265 and 20275, than apply into the LCM equation.

GCF(20265,20275) = 5
LCM(20265,20275) = ( 20265 × 20275) / 5
LCM(20265,20275) = 410872875 / 5
LCM(20265,20275) = 82174575

Least Common Multiple (LCM) of 20265 and 20275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20265 and 20275. First we will calculate the prime factors of 20265 and 20275.

Prime Factorization of 20265

Prime Factorization of 20275

Now multiplying the highest exponent prime factors to calculate the LCM of 20265 and 20275.

LCM(20265,20275) = 3¹ × 5² × 7¹ × 193¹ × 811¹
LCM(20265,20275) = 82174575