What is the Least Common Multiple of 68014 and 68032?

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 68014 and 68032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68014 and 68032, than apply into the LCM equation.

GCF(68014,68032) = 2
LCM(68014,68032) = ( 68014 × 68032) / 2
LCM(68014,68032) = 4627128448 / 2
LCM(68014,68032) = 2313564224

Least Common Multiple (LCM) of 68014 and 68032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68014 and 68032. First we will calculate the prime factors of 68014 and 68032.

Prime Factorization of 68014

Prime Factorization of 68032

Now multiplying the highest exponent prime factors to calculate the LCM of 68014 and 68032.

LCM(68014,68032) = 2⁶ × 31¹ × 1097¹ × 1063¹
LCM(68014,68032) = 2313564224