What is the Least Common Multiple of 91346 and 91361?

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 91346 and 91361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91346 and 91361, than apply into the LCM equation.

GCF(91346,91361) = 1
LCM(91346,91361) = ( 91346 × 91361) / 1
LCM(91346,91361) = 8345461906 / 1
LCM(91346,91361) = 8345461906

Least Common Multiple (LCM) of 91346 and 91361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91346 and 91361. First we will calculate the prime factors of 91346 and 91361.

Prime Factorization of 91346

Prime Factorization of 91361

Now multiplying the highest exponent prime factors to calculate the LCM of 91346 and 91361.

LCM(91346,91361) = 2¹ × 45673¹ × 103¹ × 887¹
LCM(91346,91361) = 8345461906