What is the Least Common Multiple of 58338 and 58344?

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 58338 and 58344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58338 and 58344, than apply into the LCM equation.

GCF(58338,58344) = 6
LCM(58338,58344) = ( 58338 × 58344) / 6
LCM(58338,58344) = 3403672272 / 6
LCM(58338,58344) = 567278712

Least Common Multiple (LCM) of 58338 and 58344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58338 and 58344. First we will calculate the prime factors of 58338 and 58344.

Prime Factorization of 58338

Prime Factorization of 58344

Now multiplying the highest exponent prime factors to calculate the LCM of 58338 and 58344.

LCM(58338,58344) = 2³ × 3² × 7¹ × 463¹ × 11¹ × 13¹ × 17¹
LCM(58338,58344) = 567278712