Least Common Multiple of 4387 and 4394
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4387 and 4394 the smallest integer that is 19276478 that is divisible by both numbers.
Least Common Multiple (LCM) of 4387 and 4394 is 19276478.
LCM(4387,4394) = 19276478
LCM of 4387 and 4394
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4387 and 4394 by Prime method
- Least Common Multiple of 4387 and 4394 with GCF Formula
LCM of 4387 and 4394 is 19276478
Least common multiple can be found by multiplying the highest exponent prime factors of 4387 and 4394. First we will calculate the prime factors of 4387 and 4394.
Prime Factorization of 4387
| 41 | 4387 |
| 107 | 107 |
| 1 |
Prime factors of 4387 are 41,107. Prime factorization of 4387 in exponential form is:
4387 = 411×1071
Prime Factorization of 4394
| 2 | 4394 |
| 13 | 2197 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:
4394 = 21×133
Now multiplying the highest exponent prime factors to calculate the LCM of 4387 and 4394.
LCM(4387,4394) = 21×133×411×1071
LCM(4387,4394) = 19276478
Factors of 4387
List of positive integer factors of 4387 that divides 4387 without a remainder.
1, 41, 107, 4387
Factors of 4394
List of positive integer factors of 4394 that divides 4394 without a remainder.
1, 2, 13, 26, 169, 338, 2197, 4394
Least Common Multiple of 4387 and 4394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4387 and 4394, than apply into the LCM equation.
GCF(4387,4394) = 1
LCM(4387,4394) = ( 4387 × 4394) / 1
LCM(4387,4394) = 19276478 / 1
LCM(4387,4394) = 19276478
Properties of LCM 4387 and 4394
(i) The LCM of 4394 and 4387 is associative
LCM of 4387 and 4394 = LCM of 4394 and 4387
Related Least Common Multiples of 4387
Related Least Common Multiples of 4394
Frequently Asked Questions on LCM of 4387 and 4394
1. What is the LCM of 4387 and 4394?
Answer: LCM of 4387 and 4394 is 19276478.
2. What are the Factors of 4387?
Answer: Factors of 4387 are 1, 41, 107, 4387. There are 4 integers that are factors of 4387. The greatest factor of 4387 is 4387.
3. What are the Factors of 4394?
Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.
4. How to Find the LCM of 4387 and 4394?
Answer:
Least Common Multiple of 4387 and 4394 = 19276478
Step 1: Find the prime factorization of 4387
4387 = 41 x 107
Step 2: Find the prime factorization of 4394
4394 = 2 x 13 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19276478 = 2 x 13 x 13 x 13 x 41 x 107
Step 4: Therefore, the least common multiple of 4387 and 4394 is 19276478.