What is the Least Common Multiple of 18285 and 18305?
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 18285 and 18305 is 66941385.
LCM(18285,18305) = 66941385
Least Common Multiple of 18285 and 18305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18285 and 18305, than apply into the LCM equation.
GCF(18285,18305) = 5
LCM(18285,18305) = ( 18285 × 18305) / 5
LCM(18285,18305) = 334706925 / 5
LCM(18285,18305) = 66941385
Least Common Multiple (LCM) of 18285 and 18305 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18285 and 18305. First we will calculate the prime factors of 18285 and 18305.
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
Prime Factorization of 18305
Prime factors of 18305 are 5, 7, 523. Prime factorization of 18305 in exponential form is:
18305 = 51 × 71 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 18285 and 18305.
LCM(18285,18305) = 31 × 51 × 231 × 531 × 71 × 5231
LCM(18285,18305) = 66941385
Related Least Common Multiples of 18285
- LCM of 18285 and 18289
- LCM of 18285 and 18290
- LCM of 18285 and 18291
- LCM of 18285 and 18292
- LCM of 18285 and 18293
- LCM of 18285 and 18294
- LCM of 18285 and 18295
- LCM of 18285 and 18296
- LCM of 18285 and 18297
- LCM of 18285 and 18298
- LCM of 18285 and 18299
- LCM of 18285 and 18300
- LCM of 18285 and 18301
- LCM of 18285 and 18302
- LCM of 18285 and 18303
- LCM of 18285 and 18304
- LCM of 18285 and 18305
Related Least Common Multiples of 18305
- LCM of 18305 and 18309
- LCM of 18305 and 18310
- LCM of 18305 and 18311
- LCM of 18305 and 18312
- LCM of 18305 and 18313
- LCM of 18305 and 18314
- LCM of 18305 and 18315
- LCM of 18305 and 18316
- LCM of 18305 and 18317
- LCM of 18305 and 18318
- LCM of 18305 and 18319
- LCM of 18305 and 18320
- LCM of 18305 and 18321
- LCM of 18305 and 18322
- LCM of 18305 and 18323
- LCM of 18305 and 18324
- LCM of 18305 and 18325