What is the Least Common Multiple of 65312 and 65328?

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 65312 and 65328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65312 and 65328, than apply into the LCM equation.

GCF(65312,65328) = 16
LCM(65312,65328) = ( 65312 × 65328) / 16
LCM(65312,65328) = 4266702336 / 16
LCM(65312,65328) = 266668896

Least Common Multiple (LCM) of 65312 and 65328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65312 and 65328. First we will calculate the prime factors of 65312 and 65328.

Prime Factorization of 65312

Prime Factorization of 65328

Now multiplying the highest exponent prime factors to calculate the LCM of 65312 and 65328.

LCM(65312,65328) = 2⁵ × 13¹ × 157¹ × 3¹ × 1361¹
LCM(65312,65328) = 266668896