GCF and LCM Calculator Logo

What is the Least Common Multiple of 18280 and 18285?

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 18280 and 18285 is 66849960.

LCM(18280,18285) = 66849960

LCM Calculator and
and

Least Common Multiple of 18280 and 18285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18280 and 18285, than apply into the LCM equation.

GCF(18280,18285) = 5
LCM(18280,18285) = ( 18280 × 18285) / 5
LCM(18280,18285) = 334249800 / 5
LCM(18280,18285) = 66849960

Least Common Multiple (LCM) of 18280 and 18285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18280 and 18285. First we will calculate the prime factors of 18280 and 18285.

Prime Factorization of 18280

Prime factors of 18280 are 2, 5, 457. Prime factorization of 18280 in exponential form is:

18280 = 23 × 51 × 4571

Prime Factorization of 18285

Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:

18285 = 31 × 51 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18280 and 18285.

LCM(18280,18285) = 23 × 51 × 4571 × 31 × 231 × 531
LCM(18280,18285) = 66849960