What is the Least Common Multiple of 65541 and 65556?

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 65541 and 65556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65541 and 65556, than apply into the LCM equation.

GCF(65541,65556) = 3
LCM(65541,65556) = ( 65541 × 65556) / 3
LCM(65541,65556) = 4296605796 / 3
LCM(65541,65556) = 1432201932

Least Common Multiple (LCM) of 65541 and 65556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65541 and 65556. First we will calculate the prime factors of 65541 and 65556.

Prime Factorization of 65541

Prime Factorization of 65556

Now multiplying the highest exponent prime factors to calculate the LCM of 65541 and 65556.

LCM(65541,65556) = 3³ × 7¹ × 3121¹ × 2² × 607¹
LCM(65541,65556) = 1432201932