What is the Least Common Multiple of 2364 and 2371?
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 2364 and 2371 is 5605044.
LCM(2364,2371) = 5605044
Least Common Multiple of 2364 and 2371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2364 and 2371, than apply into the LCM equation.
GCF(2364,2371) = 1
LCM(2364,2371) = ( 2364 × 2371) / 1
LCM(2364,2371) = 5605044 / 1
LCM(2364,2371) = 5605044
Least Common Multiple (LCM) of 2364 and 2371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2371. First we will calculate the prime factors of 2364 and 2371.
Prime Factorization of 2364
Prime factors of 2364 are 2, 3, 197. Prime factorization of 2364 in exponential form is:
2364 = 22 × 31 × 1971
Prime Factorization of 2371
Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:
2371 = 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 2364 and 2371.
LCM(2364,2371) = 22 × 31 × 1971 × 23711
LCM(2364,2371) = 5605044
Related Least Common Multiples of 2364
- LCM of 2364 and 2368
- LCM of 2364 and 2369
- LCM of 2364 and 2370
- LCM of 2364 and 2371
- LCM of 2364 and 2372
- LCM of 2364 and 2373
- LCM of 2364 and 2374
- LCM of 2364 and 2375
- LCM of 2364 and 2376
- LCM of 2364 and 2377
- LCM of 2364 and 2378
- LCM of 2364 and 2379
- LCM of 2364 and 2380
- LCM of 2364 and 2381
- LCM of 2364 and 2382
- LCM of 2364 and 2383
- LCM of 2364 and 2384
Related Least Common Multiples of 2371
- LCM of 2371 and 2375
- LCM of 2371 and 2376
- LCM of 2371 and 2377
- LCM of 2371 and 2378
- LCM of 2371 and 2379
- LCM of 2371 and 2380
- LCM of 2371 and 2381
- LCM of 2371 and 2382
- LCM of 2371 and 2383
- LCM of 2371 and 2384
- LCM of 2371 and 2385
- LCM of 2371 and 2386
- LCM of 2371 and 2387
- LCM of 2371 and 2388
- LCM of 2371 and 2389
- LCM of 2371 and 2390
- LCM of 2371 and 2391