What is the Least Common Multiple of 65504 and 65519?

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 65504 and 65519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65504 and 65519, than apply into the LCM equation.

GCF(65504,65519) = 1
LCM(65504,65519) = ( 65504 × 65519) / 1
LCM(65504,65519) = 4291756576 / 1
LCM(65504,65519) = 4291756576

Least Common Multiple (LCM) of 65504 and 65519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65504 and 65519. First we will calculate the prime factors of 65504 and 65519.

Prime Factorization of 65504

Prime Factorization of 65519

Now multiplying the highest exponent prime factors to calculate the LCM of 65504 and 65519.

LCM(65504,65519) = 2⁵ × 23¹ × 89¹ × 65519¹
LCM(65504,65519) = 4291756576