What is the Least Common Multiple of 81606 and 81621?

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 81606 and 81621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81606 and 81621, than apply into the LCM equation.

GCF(81606,81621) = 3
LCM(81606,81621) = ( 81606 × 81621) / 3
LCM(81606,81621) = 6660763326 / 3
LCM(81606,81621) = 2220254442

Least Common Multiple (LCM) of 81606 and 81621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81606 and 81621. First we will calculate the prime factors of 81606 and 81621.

Prime Factorization of 81606

Prime Factorization of 81621

Now multiplying the highest exponent prime factors to calculate the LCM of 81606 and 81621.

LCM(81606,81621) = 2¹ × 3³ × 7¹ × 29¹ × 67¹ × 3023¹
LCM(81606,81621) = 2220254442