What is the Least Common Multiple of 36346 and 36363?

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 36346 and 36363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36346 and 36363, than apply into the LCM equation.

GCF(36346,36363) = 17
LCM(36346,36363) = ( 36346 × 36363) / 17
LCM(36346,36363) = 1321649598 / 17
LCM(36346,36363) = 77744094

Least Common Multiple (LCM) of 36346 and 36363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36346 and 36363. First we will calculate the prime factors of 36346 and 36363.

Prime Factorization of 36346

Prime Factorization of 36363

Now multiplying the highest exponent prime factors to calculate the LCM of 36346 and 36363.

LCM(36346,36363) = 2¹ × 17¹ × 1069¹ × 3¹ × 23¹ × 31¹
LCM(36346,36363) = 77744094