GCF and LCM Calculator Logo

What is the Least Common Multiple of 18529 and 18541?

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 (LCM) of 18529 and 18541 is 343546189.

LCM(18529,18541) = 343546189

LCM Calculator and
and

Least Common Multiple of 18529 and 18541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18529 and 18541, than apply into the LCM equation.

GCF(18529,18541) = 1
LCM(18529,18541) = ( 18529 × 18541) / 1
LCM(18529,18541) = 343546189 / 1
LCM(18529,18541) = 343546189

Least Common Multiple (LCM) of 18529 and 18541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18529 and 18541. First we will calculate the prime factors of 18529 and 18541.

Prime Factorization of 18529

Prime factors of 18529 are 7, 2647. Prime factorization of 18529 in exponential form is:

18529 = 71 × 26471

Prime Factorization of 18541

Prime factors of 18541 are 18541. Prime factorization of 18541 in exponential form is:

18541 = 185411

Now multiplying the highest exponent prime factors to calculate the LCM of 18529 and 18541.

LCM(18529,18541) = 71 × 26471 × 185411
LCM(18529,18541) = 343546189