What is the Least Common Multiple of 40293 and 40297?

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 40293 and 40297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40293 and 40297, than apply into the LCM equation.

GCF(40293,40297) = 1
LCM(40293,40297) = ( 40293 × 40297) / 1
LCM(40293,40297) = 1623687021 / 1
LCM(40293,40297) = 1623687021

Least Common Multiple (LCM) of 40293 and 40297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40293 and 40297. First we will calculate the prime factors of 40293 and 40297.

Prime Factorization of 40293

Prime Factorization of 40297

Now multiplying the highest exponent prime factors to calculate the LCM of 40293 and 40297.

LCM(40293,40297) = 3² × 11² × 37¹ × 59¹ × 683¹
LCM(40293,40297) = 1623687021