What is the Least Common Multiple of 65264 and 65278?

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 65264 and 65278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65264 and 65278, than apply into the LCM equation.

GCF(65264,65278) = 2
LCM(65264,65278) = ( 65264 × 65278) / 2
LCM(65264,65278) = 4260303392 / 2
LCM(65264,65278) = 2130151696

Least Common Multiple (LCM) of 65264 and 65278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65264 and 65278. First we will calculate the prime factors of 65264 and 65278.

Prime Factorization of 65264

Prime Factorization of 65278

Now multiplying the highest exponent prime factors to calculate the LCM of 65264 and 65278.

LCM(65264,65278) = 2⁴ × 4079¹ × 127¹ × 257¹
LCM(65264,65278) = 2130151696