What is the Least Common Multiple of 20251 and 20271?

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 20251 and 20271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20251 and 20271, than apply into the LCM equation.

GCF(20251,20271) = 1
LCM(20251,20271) = ( 20251 × 20271) / 1
LCM(20251,20271) = 410508021 / 1
LCM(20251,20271) = 410508021

Least Common Multiple (LCM) of 20251 and 20271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20251 and 20271. First we will calculate the prime factors of 20251 and 20271.

Prime Factorization of 20251

Prime Factorization of 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 20251 and 20271.

LCM(20251,20271) = 7¹ × 11¹ × 263¹ × 3¹ × 29¹ × 233¹
LCM(20251,20271) = 410508021