Least Common Multiple of 5694 and 5701
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 5701 the smallest integer that is 32461494 that is divisible by both numbers.
Least Common Multiple (LCM) of 5694 and 5701 is 32461494.
LCM(5694,5701) = 32461494
LCM of 5694 and 5701
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5694 and 5701 by Prime method
- Least Common Multiple of 5694 and 5701 with GCF Formula
LCM of 5694 and 5701 is 32461494
Least common multiple can be found by multiplying the highest exponent prime factors of 5694 and 5701. First we will calculate the prime factors of 5694 and 5701.
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 5701
| 5701 | 5701 |
| 1 |
Prime factors of 5701 are 5701. Prime factorization of 5701 in exponential form is:
5701 = 57011
Now multiplying the highest exponent prime factors to calculate the LCM of 5694 and 5701.
LCM(5694,5701) = 21×31×131×731×57011
LCM(5694,5701) = 32461494
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 5701
List of positive integer factors of 5701 that divides 5701 without a remainder.
1, 5701
Least Common Multiple of 5694 and 5701 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 5701, than apply into the LCM equation.
GCF(5694,5701) = 1
LCM(5694,5701) = ( 5694 × 5701) / 1
LCM(5694,5701) = 32461494 / 1
LCM(5694,5701) = 32461494
Properties of LCM 5694 and 5701
(i) The LCM of 5701 and 5694 is associative
LCM of 5694 and 5701 = LCM of 5701 and 5694
Related Least Common Multiples of 5694
Related Least Common Multiples of 5701
Frequently Asked Questions on LCM of 5694 and 5701
1. What is the LCM of 5694 and 5701?
Answer: LCM of 5694 and 5701 is 32461494.
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 5701?
Answer: Factors of 5701 are 1, 5701. There are 2 integers that are factors of 5701. The greatest factor of 5701 is 5701.
4. How to Find the LCM of 5694 and 5701?
Answer:
Least Common Multiple of 5694 and 5701 = 32461494
Step 1: Find the prime factorization of 5694
5694 = 2 x 3 x 13 x 73
Step 2: Find the prime factorization of 5701
5701 = 5701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32461494 = 2 x 3 x 13 x 73 x 5701
Step 4: Therefore, the least common multiple of 5694 and 5701 is 32461494.