What is the Least Common Multiple of 65261 and 65279?

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 65261 and 65279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65261 and 65279, than apply into the LCM equation.

GCF(65261,65279) = 1
LCM(65261,65279) = ( 65261 × 65279) / 1
LCM(65261,65279) = 4260172819 / 1
LCM(65261,65279) = 4260172819

Least Common Multiple (LCM) of 65261 and 65279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65261 and 65279. First we will calculate the prime factors of 65261 and 65279.

Prime Factorization of 65261

Prime Factorization of 65279

Now multiplying the highest exponent prime factors to calculate the LCM of 65261 and 65279.

LCM(65261,65279) = 7¹ × 9323¹ × 29¹ × 2251¹
LCM(65261,65279) = 4260172819