Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2364 and 2371 the smallest integer that is 5605044 that is divisible by both numbers.
Least Common Multiple (LCM) of 2364 and 2371 is 5605044.
LCM(2364,2371) = 5605044
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
2 | 2364 |
2 | 1182 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 2364 are 2, 3,197. Prime factorization of 2364 in exponential form is:
2364 = 22×31×1971
Prime Factorization of 2371
2371 | 2371 |
1 |
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
Factors of 2364
List of positive integer factors of 2364 that divides 2364 without a remainder.
1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1, 2371
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
(i) The LCM of 2371 and 2364 is associative
LCM of 2364 and 2371 = LCM of 2371 and 2364
1. What is the LCM of 2364 and 2371?
Answer: LCM of 2364 and 2371 is 5605044.
2. What are the Factors of 2364?
Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.
3. What are the Factors of 2371?
Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.
4. How to Find the LCM of 2364 and 2371?
Answer:
Least Common Multiple of 2364 and 2371 = 5605044
Step 1: Find the prime factorization of 2364
2364 = 2 x 2 x 3 x 197
Step 2: Find the prime factorization of 2371
2371 = 2371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5605044 = 2 x 2 x 3 x 197 x 2371
Step 4: Therefore, the least common multiple of 2364 and 2371 is 5605044.