Least Common Multiple of 8374 and 8381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8374 and 8381 the smallest integer that is 70182494 that is divisible by both numbers.
Least Common Multiple (LCM) of 8374 and 8381 is 70182494.
LCM(8374,8381) = 70182494
LCM of 8374 and 8381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8374 and 8381 by Prime method
- Least Common Multiple of 8374 and 8381 with GCF Formula
LCM of 8374 and 8381 is 70182494
Least common multiple can be found by multiplying the highest exponent prime factors of 8374 and 8381. First we will calculate the prime factors of 8374 and 8381.
Prime Factorization of 8374
| 2 | 8374 |
| 53 | 4187 |
| 79 | 79 |
| 1 |
Prime factors of 8374 are 2, 53,79. Prime factorization of 8374 in exponential form is:
8374 = 21×531×791
Prime Factorization of 8381
| 17 | 8381 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 8381 are 17,29. Prime factorization of 8381 in exponential form is:
8381 = 172×291
Now multiplying the highest exponent prime factors to calculate the LCM of 8374 and 8381.
LCM(8374,8381) = 21×172×291×531×791
LCM(8374,8381) = 70182494
Factors of 8374
List of positive integer factors of 8374 that divides 8374 without a remainder.
1, 2, 53, 79, 106, 158, 4187, 8374
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1, 17, 29, 289, 493, 8381
Least Common Multiple of 8374 and 8381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8374 and 8381, than apply into the LCM equation.
GCF(8374,8381) = 1
LCM(8374,8381) = ( 8374 × 8381) / 1
LCM(8374,8381) = 70182494 / 1
LCM(8374,8381) = 70182494
Properties of LCM 8374 and 8381
(i) The LCM of 8381 and 8374 is associative
LCM of 8374 and 8381 = LCM of 8381 and 8374
Related Least Common Multiples of 8374
Related Least Common Multiples of 8381
Frequently Asked Questions on LCM of 8374 and 8381
1. What is the LCM of 8374 and 8381?
Answer: LCM of 8374 and 8381 is 70182494.
2. What are the Factors of 8374?
Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.
3. What are the Factors of 8381?
Answer: Factors of 8381 are 1, 17, 29, 289, 493, 8381. There are 6 integers that are factors of 8381. The greatest factor of 8381 is 8381.
4. How to Find the LCM of 8374 and 8381?
Answer:
Least Common Multiple of 8374 and 8381 = 70182494
Step 1: Find the prime factorization of 8374
8374 = 2 x 53 x 79
Step 2: Find the prime factorization of 8381
8381 = 17 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70182494 = 2 x 17 x 17 x 29 x 53 x 79
Step 4: Therefore, the least common multiple of 8374 and 8381 is 70182494.