What is the Least Common Multiple of 20253 and 20257?

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 20253 and 20257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20253 and 20257, than apply into the LCM equation.

GCF(20253,20257) = 1
LCM(20253,20257) = ( 20253 × 20257) / 1
LCM(20253,20257) = 410265021 / 1
LCM(20253,20257) = 410265021

Least Common Multiple (LCM) of 20253 and 20257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20253 and 20257. First we will calculate the prime factors of 20253 and 20257.

Prime Factorization of 20253

Prime Factorization of 20257

Now multiplying the highest exponent prime factors to calculate the LCM of 20253 and 20257.

LCM(20253,20257) = 3¹ × 43¹ × 157¹ × 47¹ × 431¹
LCM(20253,20257) = 410265021