What is the Least Common Multiple of 81251 and 81257?

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 81251 and 81257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81251 and 81257, than apply into the LCM equation.

GCF(81251,81257) = 1
LCM(81251,81257) = ( 81251 × 81257) / 1
LCM(81251,81257) = 6602212507 / 1
LCM(81251,81257) = 6602212507

Least Common Multiple (LCM) of 81251 and 81257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81251 and 81257. First we will calculate the prime factors of 81251 and 81257.

Prime Factorization of 81251

Prime Factorization of 81257

Now multiplying the highest exponent prime factors to calculate the LCM of 81251 and 81257.

LCM(81251,81257) = 31¹ × 2621¹ × 11¹ × 83¹ × 89¹
LCM(81251,81257) = 6602212507