What is the Least Common Multiple of 89355 and 89361?

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 89355 and 89361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89355 and 89361, than apply into the LCM equation.

GCF(89355,89361) = 3
LCM(89355,89361) = ( 89355 × 89361) / 3
LCM(89355,89361) = 7984852155 / 3
LCM(89355,89361) = 2661617385

Least Common Multiple (LCM) of 89355 and 89361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89355 and 89361. First we will calculate the prime factors of 89355 and 89361.

Prime Factorization of 89355

Prime Factorization of 89361

Now multiplying the highest exponent prime factors to calculate the LCM of 89355 and 89361.

LCM(89355,89361) = 3² × 5¹ × 7¹ × 23¹ × 37¹ × 9929¹
LCM(89355,89361) = 2661617385