What is the Least Common Multiple of 18286 and 18300?
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 18286 and 18300 is 167316900.
LCM(18286,18300) = 167316900
Least Common Multiple of 18286 and 18300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18286 and 18300, than apply into the LCM equation.
GCF(18286,18300) = 2
LCM(18286,18300) = ( 18286 × 18300) / 2
LCM(18286,18300) = 334633800 / 2
LCM(18286,18300) = 167316900
Least Common Multiple (LCM) of 18286 and 18300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18286 and 18300. First we will calculate the prime factors of 18286 and 18300.
Prime Factorization of 18286
Prime factors of 18286 are 2, 41, 223. Prime factorization of 18286 in exponential form is:
18286 = 21 × 411 × 2231
Prime Factorization of 18300
Prime factors of 18300 are 2, 3, 5, 61. Prime factorization of 18300 in exponential form is:
18300 = 22 × 31 × 52 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 18286 and 18300.
LCM(18286,18300) = 22 × 411 × 2231 × 31 × 52 × 611
LCM(18286,18300) = 167316900
Related Least Common Multiples of 18286
- LCM of 18286 and 18290
- LCM of 18286 and 18291
- LCM of 18286 and 18292
- LCM of 18286 and 18293
- LCM of 18286 and 18294
- LCM of 18286 and 18295
- LCM of 18286 and 18296
- LCM of 18286 and 18297
- LCM of 18286 and 18298
- LCM of 18286 and 18299
- LCM of 18286 and 18300
- LCM of 18286 and 18301
- LCM of 18286 and 18302
- LCM of 18286 and 18303
- LCM of 18286 and 18304
- LCM of 18286 and 18305
- LCM of 18286 and 18306
Related Least Common Multiples of 18300
- LCM of 18300 and 18304
- LCM of 18300 and 18305
- LCM of 18300 and 18306
- LCM of 18300 and 18307
- LCM of 18300 and 18308
- LCM of 18300 and 18309
- LCM of 18300 and 18310
- LCM of 18300 and 18311
- LCM of 18300 and 18312
- LCM of 18300 and 18313
- LCM of 18300 and 18314
- LCM of 18300 and 18315
- LCM of 18300 and 18316
- LCM of 18300 and 18317
- LCM of 18300 and 18318
- LCM of 18300 and 18319
- LCM of 18300 and 18320