What is the Least Common Multiple of 18303 and 18315?
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 18303 and 18315 is 111739815.
LCM(18303,18315) = 111739815
Least Common Multiple of 18303 and 18315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18303 and 18315, than apply into the LCM equation.
GCF(18303,18315) = 3
LCM(18303,18315) = ( 18303 × 18315) / 3
LCM(18303,18315) = 335219445 / 3
LCM(18303,18315) = 111739815
Least Common Multiple (LCM) of 18303 and 18315 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18303 and 18315. First we will calculate the prime factors of 18303 and 18315.
Prime Factorization of 18303
Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:
18303 = 31 × 61011
Prime Factorization of 18315
Prime factors of 18315 are 3, 5, 11, 37. Prime factorization of 18315 in exponential form is:
18315 = 32 × 51 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 18303 and 18315.
LCM(18303,18315) = 32 × 61011 × 51 × 111 × 371
LCM(18303,18315) = 111739815
Related Least Common Multiples of 18303
- LCM of 18303 and 18307
- LCM of 18303 and 18308
- LCM of 18303 and 18309
- LCM of 18303 and 18310
- LCM of 18303 and 18311
- LCM of 18303 and 18312
- LCM of 18303 and 18313
- LCM of 18303 and 18314
- LCM of 18303 and 18315
- LCM of 18303 and 18316
- LCM of 18303 and 18317
- LCM of 18303 and 18318
- LCM of 18303 and 18319
- LCM of 18303 and 18320
- LCM of 18303 and 18321
- LCM of 18303 and 18322
- LCM of 18303 and 18323
Related Least Common Multiples of 18315
- LCM of 18315 and 18319
- LCM of 18315 and 18320
- LCM of 18315 and 18321
- LCM of 18315 and 18322
- LCM of 18315 and 18323
- LCM of 18315 and 18324
- LCM of 18315 and 18325
- LCM of 18315 and 18326
- LCM of 18315 and 18327
- LCM of 18315 and 18328
- LCM of 18315 and 18329
- LCM of 18315 and 18330
- LCM of 18315 and 18331
- LCM of 18315 and 18332
- LCM of 18315 and 18333
- LCM of 18315 and 18334
- LCM of 18315 and 18335