What is the Least Common Multiple of 81441 and 81459?

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 81459 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 81459, than apply into the LCM equation.

GCF(81441,81459) = 9
LCM(81441,81459) = ( 81441 × 81459) / 9
LCM(81441,81459) = 6634102419 / 9
LCM(81441,81459) = 737122491

Least Common Multiple (LCM) of 81441 and 81459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81441 and 81459. First we will calculate the prime factors of 81441 and 81459.

Prime Factorization of 81441

Prime Factorization of 81459

Now multiplying the highest exponent prime factors to calculate the LCM of 81441 and 81459.

LCM(81441,81459) = 3³ × 9049¹ × 7¹ × 431¹
LCM(81441,81459) = 737122491