What is the Least Common Multiple of 81441 and 81457?

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 81441 and 81457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81441 and 81457, than apply into the LCM equation.

GCF(81441,81457) = 1
LCM(81441,81457) = ( 81441 × 81457) / 1
LCM(81441,81457) = 6633939537 / 1
LCM(81441,81457) = 6633939537

Least Common Multiple (LCM) of 81441 and 81457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81441 and 81457. First we will calculate the prime factors of 81441 and 81457.

Prime Factorization of 81441

Prime Factorization of 81457

Now multiplying the highest exponent prime factors to calculate the LCM of 81441 and 81457.

LCM(81441,81457) = 3² × 9049¹ × 81457¹
LCM(81441,81457) = 6633939537