GCF and LCM Calculator Logo

What is the Least Common Multiple of 18409 and 18413?

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 18409 and 18413 is 338964917.

LCM(18409,18413) = 338964917

LCM Calculator and
and

Least Common Multiple of 18409 and 18413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18409 and 18413, than apply into the LCM equation.

GCF(18409,18413) = 1
LCM(18409,18413) = ( 18409 × 18413) / 1
LCM(18409,18413) = 338964917 / 1
LCM(18409,18413) = 338964917

Least Common Multiple (LCM) of 18409 and 18413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18409 and 18413. First we will calculate the prime factors of 18409 and 18413.

Prime Factorization of 18409

Prime factors of 18409 are 41, 449. Prime factorization of 18409 in exponential form is:

18409 = 411 × 4491

Prime Factorization of 18413

Prime factors of 18413 are 18413. Prime factorization of 18413 in exponential form is:

18413 = 184131

Now multiplying the highest exponent prime factors to calculate the LCM of 18409 and 18413.

LCM(18409,18413) = 411 × 4491 × 184131
LCM(18409,18413) = 338964917