What is the Least Common Multiple of 65278 and 65284?

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 65278 and 65284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65278 and 65284, than apply into the LCM equation.

GCF(65278,65284) = 2
LCM(65278,65284) = ( 65278 × 65284) / 2
LCM(65278,65284) = 4261608952 / 2
LCM(65278,65284) = 2130804476

Least Common Multiple (LCM) of 65278 and 65284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65278 and 65284. First we will calculate the prime factors of 65278 and 65284.

Prime Factorization of 65278

Prime Factorization of 65284

Now multiplying the highest exponent prime factors to calculate the LCM of 65278 and 65284.

LCM(65278,65284) = 2² × 127¹ × 257¹ × 19¹ × 859¹
LCM(65278,65284) = 2130804476