Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2357 and 2364 the smallest integer that is 5571948 that is divisible by both numbers.
Least Common Multiple (LCM) of 2357 and 2364 is 5571948.
LCM(2357,2364) = 5571948
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 2357 and 2364. First we will calculate the prime factors of 2357 and 2364.
Prime Factorization of 2357
2357 | 2357 |
1 |
Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:
2357 = 23571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2357 and 2364.
LCM(2357,2364) = 22×31×1971×23571
LCM(2357,2364) = 5571948
Factors of 2357
List of positive integer factors of 2357 that divides 2357 without a remainder.
1, 2357
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2357 and 2364, than apply into the LCM equation.
GCF(2357,2364) = 1
LCM(2357,2364) = ( 2357 × 2364) / 1
LCM(2357,2364) = 5571948 / 1
LCM(2357,2364) = 5571948
(i) The LCM of 2364 and 2357 is associative
LCM of 2357 and 2364 = LCM of 2364 and 2357
1. What is the LCM of 2357 and 2364?
Answer: LCM of 2357 and 2364 is 5571948.
2. What are the Factors of 2357?
Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.
3. 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.
4. How to Find the LCM of 2357 and 2364?
Answer:
Least Common Multiple of 2357 and 2364 = 5571948
Step 1: Find the prime factorization of 2357
2357 = 2357
Step 2: Find the prime factorization of 2364
2364 = 2 x 2 x 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5571948 = 2 x 2 x 3 x 197 x 2357
Step 4: Therefore, the least common multiple of 2357 and 2364 is 5571948.