What is the Least Common Multiple of 68287 and 68293?

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 68287 and 68293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68287 and 68293, than apply into the LCM equation.

GCF(68287,68293) = 1
LCM(68287,68293) = ( 68287 × 68293) / 1
LCM(68287,68293) = 4663524091 / 1
LCM(68287,68293) = 4663524091

Least Common Multiple (LCM) of 68287 and 68293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68287 and 68293. First we will calculate the prime factors of 68287 and 68293.

Prime Factorization of 68287

Prime Factorization of 68293

Now multiplying the highest exponent prime factors to calculate the LCM of 68287 and 68293.

LCM(68287,68293) = 23¹ × 2969¹ × 31¹ × 2203¹
LCM(68287,68293) = 4663524091