What is the Least Common Multiple of 65439 and 65448?

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 65439 and 65448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65439 and 65448, than apply into the LCM equation.

GCF(65439,65448) = 9
LCM(65439,65448) = ( 65439 × 65448) / 9
LCM(65439,65448) = 4282851672 / 9
LCM(65439,65448) = 475872408

Least Common Multiple (LCM) of 65439 and 65448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65439 and 65448. First we will calculate the prime factors of 65439 and 65448.

Prime Factorization of 65439

Prime Factorization of 65448

Now multiplying the highest exponent prime factors to calculate the LCM of 65439 and 65448.

LCM(65439,65448) = 3⁴ × 11¹ × 661¹ × 2³ × 101¹
LCM(65439,65448) = 475872408