What is the Least Common Multiple of 81649 and 81654?

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 81649 and 81654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81649 and 81654, than apply into the LCM equation.

GCF(81649,81654) = 1
LCM(81649,81654) = ( 81649 × 81654) / 1
LCM(81649,81654) = 6666967446 / 1
LCM(81649,81654) = 6666967446

Least Common Multiple (LCM) of 81649 and 81654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81649 and 81654. First we will calculate the prime factors of 81649 and 81654.

Prime Factorization of 81649

Prime Factorization of 81654

Now multiplying the highest exponent prime factors to calculate the LCM of 81649 and 81654.

LCM(81649,81654) = 81649¹ × 2¹ × 3¹ × 31¹ × 439¹
LCM(81649,81654) = 6666967446