Least Common Multiple of 5694 and 5699
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5694 and 5699 the smallest integer that is 32450106 that is divisible by both numbers.
Least Common Multiple (LCM) of 5694 and 5699 is 32450106.
LCM(5694,5699) = 32450106
LCM of 5694 and 5699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5694 and 5699 by Prime method
- Least Common Multiple of 5694 and 5699 with GCF Formula
LCM of 5694 and 5699 is 32450106
Least common multiple can be found by multiplying the highest exponent prime factors of 5694 and 5699. First we will calculate the prime factors of 5694 and 5699.
Prime Factorization of 5694
| 2 | 5694 |
| 3 | 2847 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 5694 are 2, 3, 13,73. Prime factorization of 5694 in exponential form is:
5694 = 21×31×131×731
Prime Factorization of 5699
| 41 | 5699 |
| 139 | 139 |
| 1 |
Prime factors of 5699 are 41,139. Prime factorization of 5699 in exponential form is:
5699 = 411×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 5694 and 5699.
LCM(5694,5699) = 21×31×131×411×731×1391
LCM(5694,5699) = 32450106
Factors of 5694
List of positive integer factors of 5694 that divides 5694 without a remainder.
1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694
Factors of 5699
List of positive integer factors of 5699 that divides 5699 without a remainder.
1, 41, 139, 5699
Least Common Multiple of 5694 and 5699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5694 and 5699, than apply into the LCM equation.
GCF(5694,5699) = 1
LCM(5694,5699) = ( 5694 × 5699) / 1
LCM(5694,5699) = 32450106 / 1
LCM(5694,5699) = 32450106
Properties of LCM 5694 and 5699
(i) The LCM of 5699 and 5694 is associative
LCM of 5694 and 5699 = LCM of 5699 and 5694
Related Least Common Multiples of 5694
Related Least Common Multiples of 5699
Frequently Asked Questions on LCM of 5694 and 5699
1. What is the LCM of 5694 and 5699?
Answer: LCM of 5694 and 5699 is 32450106.
2. What are the Factors of 5694?
Answer: Factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694. There are 16 integers that are factors of 5694. The greatest factor of 5694 is 5694.
3. What are the Factors of 5699?
Answer: Factors of 5699 are 1, 41, 139, 5699. There are 4 integers that are factors of 5699. The greatest factor of 5699 is 5699.
4. How to Find the LCM of 5694 and 5699?
Answer:
Least Common Multiple of 5694 and 5699 = 32450106
Step 1: Find the prime factorization of 5694
5694 = 2 x 3 x 13 x 73
Step 2: Find the prime factorization of 5699
5699 = 41 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32450106 = 2 x 3 x 13 x 41 x 73 x 139
Step 4: Therefore, the least common multiple of 5694 and 5699 is 32450106.