What is the Least Common Multiple of 18295 and 18312?
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 18295 and 18312 is 335018040.
LCM(18295,18312) = 335018040
Least Common Multiple of 18295 and 18312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18295 and 18312, than apply into the LCM equation.
GCF(18295,18312) = 1
LCM(18295,18312) = ( 18295 × 18312) / 1
LCM(18295,18312) = 335018040 / 1
LCM(18295,18312) = 335018040
Least Common Multiple (LCM) of 18295 and 18312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18295 and 18312. First we will calculate the prime factors of 18295 and 18312.
Prime Factorization of 18295
Prime factors of 18295 are 5, 3659. Prime factorization of 18295 in exponential form is:
18295 = 51 × 36591
Prime Factorization of 18312
Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:
18312 = 23 × 31 × 71 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 18295 and 18312.
LCM(18295,18312) = 51 × 36591 × 23 × 31 × 71 × 1091
LCM(18295,18312) = 335018040
Related Least Common Multiples of 18295
- LCM of 18295 and 18299
- LCM of 18295 and 18300
- LCM of 18295 and 18301
- LCM of 18295 and 18302
- LCM of 18295 and 18303
- LCM of 18295 and 18304
- LCM of 18295 and 18305
- LCM of 18295 and 18306
- LCM of 18295 and 18307
- LCM of 18295 and 18308
- LCM of 18295 and 18309
- LCM of 18295 and 18310
- LCM of 18295 and 18311
- LCM of 18295 and 18312
- LCM of 18295 and 18313
- LCM of 18295 and 18314
- LCM of 18295 and 18315
Related Least Common Multiples of 18312
- LCM of 18312 and 18316
- LCM of 18312 and 18317
- LCM of 18312 and 18318
- LCM of 18312 and 18319
- LCM of 18312 and 18320
- LCM of 18312 and 18321
- LCM of 18312 and 18322
- LCM of 18312 and 18323
- LCM of 18312 and 18324
- LCM of 18312 and 18325
- LCM of 18312 and 18326
- LCM of 18312 and 18327
- LCM of 18312 and 18328
- LCM of 18312 and 18329
- LCM of 18312 and 18330
- LCM of 18312 and 18331
- LCM of 18312 and 18332