What is the Least Common Multiple of 20257 and 20263?

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 20257 and 20263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20257 and 20263, than apply into the LCM equation.

GCF(20257,20263) = 1
LCM(20257,20263) = ( 20257 × 20263) / 1
LCM(20257,20263) = 410467591 / 1
LCM(20257,20263) = 410467591

Least Common Multiple (LCM) of 20257 and 20263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20257 and 20263. First we will calculate the prime factors of 20257 and 20263.

Prime Factorization of 20257

Prime Factorization of 20263

Now multiplying the highest exponent prime factors to calculate the LCM of 20257 and 20263.

LCM(20257,20263) = 47¹ × 431¹ × 23¹ × 881¹
LCM(20257,20263) = 410467591