What is the Least Common Multiple of 65014 and 65034?

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 65034 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 65034, than apply into the LCM equation.

GCF(65014,65034) = 2
LCM(65014,65034) = ( 65014 × 65034) / 2
LCM(65014,65034) = 4228120476 / 2
LCM(65014,65034) = 2114060238

Least Common Multiple (LCM) of 65014 and 65034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65014 and 65034. First we will calculate the prime factors of 65014 and 65034.

Prime Factorization of 65014

Prime Factorization of 65034

Now multiplying the highest exponent prime factors to calculate the LCM of 65014 and 65034.

LCM(65014,65034) = 2¹ × 32507¹ × 3² × 3613¹
LCM(65014,65034) = 2114060238