What is the Least Common Multiple of 90351 and 90361?

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 90351 and 90361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90351 and 90361, than apply into the LCM equation.

GCF(90351,90361) = 1
LCM(90351,90361) = ( 90351 × 90361) / 1
LCM(90351,90361) = 8164206711 / 1
LCM(90351,90361) = 8164206711

Least Common Multiple (LCM) of 90351 and 90361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90351 and 90361. First we will calculate the prime factors of 90351 and 90361.

Prime Factorization of 90351

Prime Factorization of 90361

Now multiplying the highest exponent prime factors to calculate the LCM of 90351 and 90361.

LCM(90351,90361) = 3² × 10039¹ × 109¹ × 829¹
LCM(90351,90361) = 8164206711