What is the Least Common Multiple of 65529 and 65538?

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 65529 and 65538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65529 and 65538, than apply into the LCM equation.

GCF(65529,65538) = 9
LCM(65529,65538) = ( 65529 × 65538) / 9
LCM(65529,65538) = 4294639602 / 9
LCM(65529,65538) = 477182178

Least Common Multiple (LCM) of 65529 and 65538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65529 and 65538. First we will calculate the prime factors of 65529 and 65538.

Prime Factorization of 65529

Prime Factorization of 65538

Now multiplying the highest exponent prime factors to calculate the LCM of 65529 and 65538.

LCM(65529,65538) = 3⁴ × 809¹ × 2¹ × 11¹ × 331¹
LCM(65529,65538) = 477182178