Least Common Multiple of 23374 and 23381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 23374 and 23381 the smallest integer that is 546507494 that is divisible by both numbers.
Least Common Multiple (LCM) of 23374 and 23381 is 546507494.
LCM(23374,23381) = 546507494
LCM of 23374 and 23381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 23374 and 23381 by Prime method
- Least Common Multiple of 23374 and 23381 with GCF Formula
LCM of 23374 and 23381 is 546507494
Least common multiple can be found by multiplying the highest exponent prime factors of 23374 and 23381. First we will calculate the prime factors of 23374 and 23381.
Prime Factorization of 23374
| 2 | 23374 |
| 13 | 11687 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 23374 are 2, 13, 29,31. Prime factorization of 23374 in exponential form is:
23374 = 21×131×291×311
Prime Factorization of 23381
| 103 | 23381 |
| 227 | 227 |
| 1 |
Prime factors of 23381 are 103,227. Prime factorization of 23381 in exponential form is:
23381 = 1031×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 23374 and 23381.
LCM(23374,23381) = 21×131×291×311×1031×2271
LCM(23374,23381) = 546507494
Factors of 23374
List of positive integer factors of 23374 that divides 23374 without a remainder.
1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687, 23374
Factors of 23381
List of positive integer factors of 23381 that divides 23381 without a remainder.
1, 103, 227, 23381
Least Common Multiple of 23374 and 23381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23374 and 23381, than apply into the LCM equation.
GCF(23374,23381) = 1
LCM(23374,23381) = ( 23374 × 23381) / 1
LCM(23374,23381) = 546507494 / 1
LCM(23374,23381) = 546507494
Properties of LCM 23374 and 23381
(i) The LCM of 23381 and 23374 is associative
LCM of 23374 and 23381 = LCM of 23381 and 23374
Related Least Common Multiples of 23374
Related Least Common Multiples of 23381
Frequently Asked Questions on LCM of 23374 and 23381
1. What is the LCM of 23374 and 23381?
Answer: LCM of 23374 and 23381 is 546507494.
2. What are the Factors of 23374?
Answer: Factors of 23374 are 1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687, 23374. There are 16 integers that are factors of 23374. The greatest factor of 23374 is 23374.
3. What are the Factors of 23381?
Answer: Factors of 23381 are 1, 103, 227, 23381. There are 4 integers that are factors of 23381. The greatest factor of 23381 is 23381.
4. How to Find the LCM of 23374 and 23381?
Answer:
Least Common Multiple of 23374 and 23381 = 546507494
Step 1: Find the prime factorization of 23374
23374 = 2 x 13 x 29 x 31
Step 2: Find the prime factorization of 23381
23381 = 103 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 546507494 = 2 x 13 x 29 x 31 x 103 x 227
Step 4: Therefore, the least common multiple of 23374 and 23381 is 546507494.