GCF and LCM Calculator Logo

What is the Least Common Multiple of 18541 and 18560?

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 18541 and 18560 is 344120960.

LCM(18541,18560) = 344120960

LCM Calculator and
and

Least Common Multiple of 18541 and 18560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18541 and 18560, than apply into the LCM equation.

GCF(18541,18560) = 1
LCM(18541,18560) = ( 18541 × 18560) / 1
LCM(18541,18560) = 344120960 / 1
LCM(18541,18560) = 344120960

Least Common Multiple (LCM) of 18541 and 18560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18541 and 18560. First we will calculate the prime factors of 18541 and 18560.

Prime Factorization of 18541

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

18541 = 185411

Prime Factorization of 18560

Prime factors of 18560 are 2, 5, 29. Prime factorization of 18560 in exponential form is:

18560 = 27 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 18541 and 18560.

LCM(18541,18560) = 185411 × 27 × 51 × 291
LCM(18541,18560) = 344120960