What is the Least Common Multiple of 65544 and 65563?

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 65544 and 65563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65544 and 65563, than apply into the LCM equation.

GCF(65544,65563) = 1
LCM(65544,65563) = ( 65544 × 65563) / 1
LCM(65544,65563) = 4297261272 / 1
LCM(65544,65563) = 4297261272

Least Common Multiple (LCM) of 65544 and 65563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65544 and 65563. First we will calculate the prime factors of 65544 and 65563.

Prime Factorization of 65544

Prime Factorization of 65563

Now multiplying the highest exponent prime factors to calculate the LCM of 65544 and 65563.

LCM(65544,65563) = 2³ × 3¹ × 2731¹ × 65563¹
LCM(65544,65563) = 4297261272