Least Common Multiple of 2373 and 2381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2373 and 2381 the smallest integer that is 5650113 that is divisible by both numbers.
Least Common Multiple (LCM) of 2373 and 2381 is 5650113.
LCM(2373,2381) = 5650113
LCM of 2373 and 2381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2373 and 2381 by Prime method
- Least Common Multiple of 2373 and 2381 with GCF Formula
LCM of 2373 and 2381 is 5650113
Least common multiple can be found by multiplying the highest exponent prime factors of 2373 and 2381. First we will calculate the prime factors of 2373 and 2381.
Prime Factorization of 2373
| 3 | 2373 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 2373 are 3, 7,113. Prime factorization of 2373 in exponential form is:
2373 = 31×71×1131
Prime Factorization of 2381
| 2381 | 2381 |
| 1 |
Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:
2381 = 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 2373 and 2381.
LCM(2373,2381) = 31×71×1131×23811
LCM(2373,2381) = 5650113
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1, 3, 7, 21, 113, 339, 791, 2373
Factors of 2381
List of positive integer factors of 2381 that divides 2381 without a remainder.
1, 2381
Least Common Multiple of 2373 and 2381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2373 and 2381, than apply into the LCM equation.
GCF(2373,2381) = 1
LCM(2373,2381) = ( 2373 × 2381) / 1
LCM(2373,2381) = 5650113 / 1
LCM(2373,2381) = 5650113
Properties of LCM 2373 and 2381
(i) The LCM of 2381 and 2373 is associative
LCM of 2373 and 2381 = LCM of 2381 and 2373
Related Least Common Multiples of 2373
Related Least Common Multiples of 2381
Frequently Asked Questions on LCM of 2373 and 2381
1. What is the LCM of 2373 and 2381?
Answer: LCM of 2373 and 2381 is 5650113.
2. What are the Factors of 2373?
Answer: Factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373. There are 8 integers that are factors of 2373. The greatest factor of 2373 is 2373.
3. What are the Factors of 2381?
Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.
4. How to Find the LCM of 2373 and 2381?
Answer:
Least Common Multiple of 2373 and 2381 = 5650113
Step 1: Find the prime factorization of 2373
2373 = 3 x 7 x 113
Step 2: Find the prime factorization of 2381
2381 = 2381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5650113 = 3 x 7 x 113 x 2381
Step 4: Therefore, the least common multiple of 2373 and 2381 is 5650113.