What is the Least Common Multiple of 81257 and 81272?

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 81257 and 81272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81257 and 81272, than apply into the LCM equation.

GCF(81257,81272) = 1
LCM(81257,81272) = ( 81257 × 81272) / 1
LCM(81257,81272) = 6603918904 / 1
LCM(81257,81272) = 6603918904

Least Common Multiple (LCM) of 81257 and 81272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81257 and 81272. First we will calculate the prime factors of 81257 and 81272.

Prime Factorization of 81257

Prime Factorization of 81272

Now multiplying the highest exponent prime factors to calculate the LCM of 81257 and 81272.

LCM(81257,81272) = 11¹ × 83¹ × 89¹ × 2³ × 10159¹
LCM(81257,81272) = 6603918904