What is the Least Common Multiple of 18282 and 18294?
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 18282 and 18294 is 55741818.
LCM(18282,18294) = 55741818
Least Common Multiple of 18282 and 18294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18282 and 18294, than apply into the LCM equation.
GCF(18282,18294) = 6
LCM(18282,18294) = ( 18282 × 18294) / 6
LCM(18282,18294) = 334450908 / 6
LCM(18282,18294) = 55741818
Least Common Multiple (LCM) of 18282 and 18294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18282 and 18294. First we will calculate the prime factors of 18282 and 18294.
Prime Factorization of 18282
Prime factors of 18282 are 2, 3, 11, 277. Prime factorization of 18282 in exponential form is:
18282 = 21 × 31 × 111 × 2771
Prime Factorization of 18294
Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:
18294 = 21 × 31 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 18282 and 18294.
LCM(18282,18294) = 21 × 31 × 111 × 2771 × 30491
LCM(18282,18294) = 55741818
Related Least Common Multiples of 18282
- LCM of 18282 and 18286
- LCM of 18282 and 18287
- LCM of 18282 and 18288
- LCM of 18282 and 18289
- LCM of 18282 and 18290
- LCM of 18282 and 18291
- LCM of 18282 and 18292
- LCM of 18282 and 18293
- LCM of 18282 and 18294
- LCM of 18282 and 18295
- LCM of 18282 and 18296
- LCM of 18282 and 18297
- LCM of 18282 and 18298
- LCM of 18282 and 18299
- LCM of 18282 and 18300
- LCM of 18282 and 18301
- LCM of 18282 and 18302
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