What is the Least Common Multiple of 65014 and 65032?

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 65014 and 65032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65014 and 65032, than apply into the LCM equation.

GCF(65014,65032) = 2
LCM(65014,65032) = ( 65014 × 65032) / 2
LCM(65014,65032) = 4227990448 / 2
LCM(65014,65032) = 2113995224

Least Common Multiple (LCM) of 65014 and 65032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65014 and 65032. First we will calculate the prime factors of 65014 and 65032.

Prime Factorization of 65014

Prime Factorization of 65032

Now multiplying the highest exponent prime factors to calculate the LCM of 65014 and 65032.

LCM(65014,65032) = 2³ × 32507¹ × 11¹ × 739¹
LCM(65014,65032) = 2113995224