What is the Least Common Multiple of 2353 and 2360?
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 2353 and 2360 is 5553080.
LCM(2353,2360) = 5553080
Least Common Multiple of 2353 and 2360 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2353 and 2360, than apply into the LCM equation.
GCF(2353,2360) = 1
LCM(2353,2360) = ( 2353 × 2360) / 1
LCM(2353,2360) = 5553080 / 1
LCM(2353,2360) = 5553080
Least Common Multiple (LCM) of 2353 and 2360 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2353 and 2360. First we will calculate the prime factors of 2353 and 2360.
Prime Factorization of 2353
Prime factors of 2353 are 13, 181. Prime factorization of 2353 in exponential form is:
2353 = 131 × 1811
Prime Factorization of 2360
Prime factors of 2360 are 2, 5, 59. Prime factorization of 2360 in exponential form is:
2360 = 23 × 51 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 2353 and 2360.
LCM(2353,2360) = 131 × 1811 × 23 × 51 × 591
LCM(2353,2360) = 5553080
Related Least Common Multiples of 2353
- LCM of 2353 and 2357
- LCM of 2353 and 2358
- LCM of 2353 and 2359
- LCM of 2353 and 2360
- LCM of 2353 and 2361
- LCM of 2353 and 2362
- LCM of 2353 and 2363
- LCM of 2353 and 2364
- LCM of 2353 and 2365
- LCM of 2353 and 2366
- LCM of 2353 and 2367
- LCM of 2353 and 2368
- LCM of 2353 and 2369
- LCM of 2353 and 2370
- LCM of 2353 and 2371
- LCM of 2353 and 2372
- LCM of 2353 and 2373
Related Least Common Multiples of 2360
- LCM of 2360 and 2364
- LCM of 2360 and 2365
- LCM of 2360 and 2366
- LCM of 2360 and 2367
- LCM of 2360 and 2368
- LCM of 2360 and 2369
- LCM of 2360 and 2370
- LCM of 2360 and 2371
- LCM of 2360 and 2372
- LCM of 2360 and 2373
- LCM of 2360 and 2374
- LCM of 2360 and 2375
- LCM of 2360 and 2376
- LCM of 2360 and 2377
- LCM of 2360 and 2378
- LCM of 2360 and 2379
- LCM of 2360 and 2380