What is the Least Common Multiple of 62284 and 62297?

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 62284 and 62297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62284 and 62297, than apply into the LCM equation.

GCF(62284,62297) = 1
LCM(62284,62297) = ( 62284 × 62297) / 1
LCM(62284,62297) = 3880106348 / 1
LCM(62284,62297) = 3880106348

Least Common Multiple (LCM) of 62284 and 62297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62284 and 62297. First we will calculate the prime factors of 62284 and 62297.

Prime Factorization of 62284

Prime Factorization of 62297

Now multiplying the highest exponent prime factors to calculate the LCM of 62284 and 62297.

LCM(62284,62297) = 2² × 23¹ × 677¹ × 62297¹
LCM(62284,62297) = 3880106348