What is the Least Common Multiple of 81471 and 81481?

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 81471 and 81481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81471 and 81481, than apply into the LCM equation.

GCF(81471,81481) = 1
LCM(81471,81481) = ( 81471 × 81481) / 1
LCM(81471,81481) = 6638338551 / 1
LCM(81471,81481) = 6638338551

Least Common Multiple (LCM) of 81471 and 81481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81471 and 81481. First we will calculate the prime factors of 81471 and 81481.

Prime Factorization of 81471

Prime Factorization of 81481

Now multiplying the highest exponent prime factors to calculate the LCM of 81471 and 81481.

LCM(81471,81481) = 3¹ × 13¹ × 2089¹ × 17¹ × 4793¹
LCM(81471,81481) = 6638338551