What is the Least Common Multiple of 65280 and 65295?

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 65280 and 65295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65280 and 65295, than apply into the LCM equation.

GCF(65280,65295) = 15
LCM(65280,65295) = ( 65280 × 65295) / 15
LCM(65280,65295) = 4262457600 / 15
LCM(65280,65295) = 284163840

Least Common Multiple (LCM) of 65280 and 65295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65280 and 65295. First we will calculate the prime factors of 65280 and 65295.

Prime Factorization of 65280

Prime Factorization of 65295

Now multiplying the highest exponent prime factors to calculate the LCM of 65280 and 65295.

LCM(65280,65295) = 2⁸ × 3² × 5¹ × 17¹ × 1451¹
LCM(65280,65295) = 284163840