Least Common Multiple of 4367 and 4371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4367 and 4371 the smallest integer that is 19088157 that is divisible by both numbers.
Least Common Multiple (LCM) of 4367 and 4371 is 19088157.
LCM(4367,4371) = 19088157
LCM of 4367 and 4371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4367 and 4371 by Prime method
- Least Common Multiple of 4367 and 4371 with GCF Formula
LCM of 4367 and 4371 is 19088157
Least common multiple can be found by multiplying the highest exponent prime factors of 4367 and 4371. First we will calculate the prime factors of 4367 and 4371.
Prime Factorization of 4367
| 11 | 4367 |
| 397 | 397 |
| 1 |
Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:
4367 = 111×3971
Prime Factorization of 4371
| 3 | 4371 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 4371 are 3, 31,47. Prime factorization of 4371 in exponential form is:
4371 = 31×311×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4367 and 4371.
LCM(4367,4371) = 31×111×311×471×3971
LCM(4367,4371) = 19088157
Factors of 4367
List of positive integer factors of 4367 that divides 4367 without a remainder.
1, 11, 397, 4367
Factors of 4371
List of positive integer factors of 4371 that divides 4371 without a remainder.
1, 3, 31, 47, 93, 141, 1457, 4371
Least Common Multiple of 4367 and 4371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4367 and 4371, than apply into the LCM equation.
GCF(4367,4371) = 1
LCM(4367,4371) = ( 4367 × 4371) / 1
LCM(4367,4371) = 19088157 / 1
LCM(4367,4371) = 19088157
Properties of LCM 4367 and 4371
(i) The LCM of 4371 and 4367 is associative
LCM of 4367 and 4371 = LCM of 4371 and 4367
Related Least Common Multiples of 4367
Related Least Common Multiples of 4371
Frequently Asked Questions on LCM of 4367 and 4371
1. What is the LCM of 4367 and 4371?
Answer: LCM of 4367 and 4371 is 19088157.
2. What are the Factors of 4367?
Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.
3. What are the Factors of 4371?
Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.
4. How to Find the LCM of 4367 and 4371?
Answer:
Least Common Multiple of 4367 and 4371 = 19088157
Step 1: Find the prime factorization of 4367
4367 = 11 x 397
Step 2: Find the prime factorization of 4371
4371 = 3 x 31 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19088157 = 3 x 11 x 31 x 47 x 397
Step 4: Therefore, the least common multiple of 4367 and 4371 is 19088157.