What is the Least Common Multiple of 2382 and 2394?
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 2382 and 2394 is 950418.
LCM(2382,2394) = 950418
Least Common Multiple of 2382 and 2394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2382 and 2394, than apply into the LCM equation.
GCF(2382,2394) = 6
LCM(2382,2394) = ( 2382 × 2394) / 6
LCM(2382,2394) = 5702508 / 6
LCM(2382,2394) = 950418
Least Common Multiple (LCM) of 2382 and 2394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2394. First we will calculate the prime factors of 2382 and 2394.
Prime Factorization of 2382
Prime factors of 2382 are 2, 3, 397. Prime factorization of 2382 in exponential form is:
2382 = 21 × 31 × 3971
Prime Factorization of 2394
Prime factors of 2394 are 2, 3, 7, 19. Prime factorization of 2394 in exponential form is:
2394 = 21 × 32 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 2382 and 2394.
LCM(2382,2394) = 21 × 32 × 3971 × 71 × 191
LCM(2382,2394) = 950418
Related Least Common Multiples of 2382
- LCM of 2382 and 2386
- LCM of 2382 and 2387
- LCM of 2382 and 2388
- LCM of 2382 and 2389
- LCM of 2382 and 2390
- LCM of 2382 and 2391
- LCM of 2382 and 2392
- LCM of 2382 and 2393
- LCM of 2382 and 2394
- LCM of 2382 and 2395
- LCM of 2382 and 2396
- LCM of 2382 and 2397
- LCM of 2382 and 2398
- LCM of 2382 and 2399
- LCM of 2382 and 2400
- LCM of 2382 and 2401
- LCM of 2382 and 2402
Related Least Common Multiples of 2394
- LCM of 2394 and 2398
- LCM of 2394 and 2399
- LCM of 2394 and 2400
- LCM of 2394 and 2401
- LCM of 2394 and 2402
- LCM of 2394 and 2403
- LCM of 2394 and 2404
- LCM of 2394 and 2405
- LCM of 2394 and 2406
- LCM of 2394 and 2407
- LCM of 2394 and 2408
- LCM of 2394 and 2409
- LCM of 2394 and 2410
- LCM of 2394 and 2411
- LCM of 2394 and 2412
- LCM of 2394 and 2413
- LCM of 2394 and 2414