Least Common Multiple of 5673 and 5677
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5673 and 5677 the smallest integer that is 32205621 that is divisible by both numbers.
Least Common Multiple (LCM) of 5673 and 5677 is 32205621.
LCM(5673,5677) = 32205621
LCM of 5673 and 5677
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5673 and 5677 by Prime method
- Least Common Multiple of 5673 and 5677 with GCF Formula
LCM of 5673 and 5677 is 32205621
Least common multiple can be found by multiplying the highest exponent prime factors of 5673 and 5677. First we will calculate the prime factors of 5673 and 5677.
Prime Factorization of 5673
| 3 | 5673 |
| 31 | 1891 |
| 61 | 61 |
| 1 |
Prime factors of 5673 are 3, 31,61. Prime factorization of 5673 in exponential form is:
5673 = 31×311×611
Prime Factorization of 5677
| 7 | 5677 |
| 811 | 811 |
| 1 |
Prime factors of 5677 are 7,811. Prime factorization of 5677 in exponential form is:
5677 = 71×8111
Now multiplying the highest exponent prime factors to calculate the LCM of 5673 and 5677.
LCM(5673,5677) = 31×71×311×611×8111
LCM(5673,5677) = 32205621
Factors of 5673
List of positive integer factors of 5673 that divides 5673 without a remainder.
1, 3, 31, 61, 93, 183, 1891, 5673
Factors of 5677
List of positive integer factors of 5677 that divides 5677 without a remainder.
1, 7, 811, 5677
Least Common Multiple of 5673 and 5677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5673 and 5677, than apply into the LCM equation.
GCF(5673,5677) = 1
LCM(5673,5677) = ( 5673 × 5677) / 1
LCM(5673,5677) = 32205621 / 1
LCM(5673,5677) = 32205621
Properties of LCM 5673 and 5677
(i) The LCM of 5677 and 5673 is associative
LCM of 5673 and 5677 = LCM of 5677 and 5673
Related Least Common Multiples of 5673
Related Least Common Multiples of 5677
Frequently Asked Questions on LCM of 5673 and 5677
1. What is the LCM of 5673 and 5677?
Answer: LCM of 5673 and 5677 is 32205621.
2. What are the Factors of 5673?
Answer: Factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673. There are 8 integers that are factors of 5673. The greatest factor of 5673 is 5673.
3. What are the Factors of 5677?
Answer: Factors of 5677 are 1, 7, 811, 5677. There are 4 integers that are factors of 5677. The greatest factor of 5677 is 5677.
4. How to Find the LCM of 5673 and 5677?
Answer:
Least Common Multiple of 5673 and 5677 = 32205621
Step 1: Find the prime factorization of 5673
5673 = 3 x 31 x 61
Step 2: Find the prime factorization of 5677
5677 = 7 x 811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32205621 = 3 x 7 x 31 x 61 x 811
Step 4: Therefore, the least common multiple of 5673 and 5677 is 32205621.