What is the Least Common Multiple of 65168 and 65178?

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 65168 and 65178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65168 and 65178, than apply into the LCM equation.

GCF(65168,65178) = 2
LCM(65168,65178) = ( 65168 × 65178) / 2
LCM(65168,65178) = 4247519904 / 2
LCM(65168,65178) = 2123759952

Least Common Multiple (LCM) of 65168 and 65178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65168 and 65178. First we will calculate the prime factors of 65168 and 65178.

Prime Factorization of 65168

Prime Factorization of 65178

Now multiplying the highest exponent prime factors to calculate the LCM of 65168 and 65178.

LCM(65168,65178) = 2⁴ × 4073¹ × 3³ × 17¹ × 71¹
LCM(65168,65178) = 2123759952