What is the Least Common Multiple of 18368 and 18382?
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 18368 and 18382 is 24117184.
LCM(18368,18382) = 24117184
Least Common Multiple of 18368 and 18382 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18368 and 18382, than apply into the LCM equation.
GCF(18368,18382) = 14
LCM(18368,18382) = ( 18368 × 18382) / 14
LCM(18368,18382) = 337640576 / 14
LCM(18368,18382) = 24117184
Least Common Multiple (LCM) of 18368 and 18382 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18368 and 18382. First we will calculate the prime factors of 18368 and 18382.
Prime Factorization of 18368
Prime factors of 18368 are 2, 7, 41. Prime factorization of 18368 in exponential form is:
18368 = 26 × 71 × 411
Prime Factorization of 18382
Prime factors of 18382 are 2, 7, 13, 101. Prime factorization of 18382 in exponential form is:
18382 = 21 × 71 × 131 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 18368 and 18382.
LCM(18368,18382) = 26 × 71 × 411 × 131 × 1011
LCM(18368,18382) = 24117184
Related Least Common Multiples of 18368
- LCM of 18368 and 18372
- LCM of 18368 and 18373
- LCM of 18368 and 18374
- LCM of 18368 and 18375
- LCM of 18368 and 18376
- LCM of 18368 and 18377
- LCM of 18368 and 18378
- LCM of 18368 and 18379
- LCM of 18368 and 18380
- LCM of 18368 and 18381
- LCM of 18368 and 18382
- LCM of 18368 and 18383
- LCM of 18368 and 18384
- LCM of 18368 and 18385
- LCM of 18368 and 18386
- LCM of 18368 and 18387
- LCM of 18368 and 18388
Related Least Common Multiples of 18382
- LCM of 18382 and 18386
- LCM of 18382 and 18387
- LCM of 18382 and 18388
- LCM of 18382 and 18389
- LCM of 18382 and 18390
- LCM of 18382 and 18391
- LCM of 18382 and 18392
- LCM of 18382 and 18393
- LCM of 18382 and 18394
- LCM of 18382 and 18395
- LCM of 18382 and 18396
- LCM of 18382 and 18397
- LCM of 18382 and 18398
- LCM of 18382 and 18399
- LCM of 18382 and 18400
- LCM of 18382 and 18401
- LCM of 18382 and 18402