What is the Least Common Multiple of 18294 and 18304?
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 18294 and 18304 is 167426688.
LCM(18294,18304) = 167426688
Least Common Multiple of 18294 and 18304 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18294 and 18304, than apply into the LCM equation.
GCF(18294,18304) = 2
LCM(18294,18304) = ( 18294 × 18304) / 2
LCM(18294,18304) = 334853376 / 2
LCM(18294,18304) = 167426688
Least Common Multiple (LCM) of 18294 and 18304 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18294 and 18304. First we will calculate the prime factors of 18294 and 18304.
Prime Factorization of 18294
Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:
18294 = 21 × 31 × 30491
Prime Factorization of 18304
Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:
18304 = 27 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 18294 and 18304.
LCM(18294,18304) = 27 × 31 × 30491 × 111 × 131
LCM(18294,18304) = 167426688
Related Least Common Multiples of 18294
- LCM of 18294 and 18298
- LCM of 18294 and 18299
- LCM of 18294 and 18300
- LCM of 18294 and 18301
- LCM of 18294 and 18302
- LCM of 18294 and 18303
- LCM of 18294 and 18304
- LCM of 18294 and 18305
- LCM of 18294 and 18306
- LCM of 18294 and 18307
- LCM of 18294 and 18308
- LCM of 18294 and 18309
- LCM of 18294 and 18310
- LCM of 18294 and 18311
- LCM of 18294 and 18312
- LCM of 18294 and 18313
- LCM of 18294 and 18314
Related Least Common Multiples of 18304
- LCM of 18304 and 18308
- LCM of 18304 and 18309
- LCM of 18304 and 18310
- LCM of 18304 and 18311
- LCM of 18304 and 18312
- LCM of 18304 and 18313
- LCM of 18304 and 18314
- LCM of 18304 and 18315
- LCM of 18304 and 18316
- LCM of 18304 and 18317
- LCM of 18304 and 18318
- LCM of 18304 and 18319
- LCM of 18304 and 18320
- LCM of 18304 and 18321
- LCM of 18304 and 18322
- LCM of 18304 and 18323
- LCM of 18304 and 18324