What is the Least Common Multiple of 86355 and 86361?

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 86355 and 86361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86355 and 86361, than apply into the LCM equation.

GCF(86355,86361) = 3
LCM(86355,86361) = ( 86355 × 86361) / 3
LCM(86355,86361) = 7457704155 / 3
LCM(86355,86361) = 2485901385

Least Common Multiple (LCM) of 86355 and 86361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86355 and 86361. First we will calculate the prime factors of 86355 and 86361.

Prime Factorization of 86355

Prime Factorization of 86361

Now multiplying the highest exponent prime factors to calculate the LCM of 86355 and 86361.

LCM(86355,86361) = 3² × 5¹ × 19¹ × 101¹ × 11¹ × 2617¹
LCM(86355,86361) = 2485901385