Least Common Multiple of 5562 and 5567
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5562 and 5567 the smallest integer that is 30963654 that is divisible by both numbers.
Least Common Multiple (LCM) of 5562 and 5567 is 30963654.
LCM(5562,5567) = 30963654
LCM of 5562 and 5567
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5562 and 5567 by Prime method
- Least Common Multiple of 5562 and 5567 with GCF Formula
LCM of 5562 and 5567 is 30963654
Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5567. First we will calculate the prime factors of 5562 and 5567.
Prime Factorization of 5562
| 2 | 5562 |
| 3 | 2781 |
| 3 | 927 |
| 3 | 309 |
| 103 | 103 |
| 1 |
Prime factors of 5562 are 2, 3,103. Prime factorization of 5562 in exponential form is:
5562 = 21×33×1031
Prime Factorization of 5567
| 19 | 5567 |
| 293 | 293 |
| 1 |
Prime factors of 5567 are 19,293. Prime factorization of 5567 in exponential form is:
5567 = 191×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5567.
LCM(5562,5567) = 21×33×191×1031×2931
LCM(5562,5567) = 30963654
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562
Factors of 5567
List of positive integer factors of 5567 that divides 5567 without a remainder.
1, 19, 293, 5567
Least Common Multiple of 5562 and 5567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5562 and 5567, than apply into the LCM equation.
GCF(5562,5567) = 1
LCM(5562,5567) = ( 5562 × 5567) / 1
LCM(5562,5567) = 30963654 / 1
LCM(5562,5567) = 30963654
Properties of LCM 5562 and 5567
(i) The LCM of 5567 and 5562 is associative
LCM of 5562 and 5567 = LCM of 5567 and 5562
Related Least Common Multiples of 5562
Related Least Common Multiples of 5567
Frequently Asked Questions on LCM of 5562 and 5567
1. What is the LCM of 5562 and 5567?
Answer: LCM of 5562 and 5567 is 30963654.
2. What are the Factors of 5562?
Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.
3. What are the Factors of 5567?
Answer: Factors of 5567 are 1, 19, 293, 5567. There are 4 integers that are factors of 5567. The greatest factor of 5567 is 5567.
4. How to Find the LCM of 5562 and 5567?
Answer:
Least Common Multiple of 5562 and 5567 = 30963654
Step 1: Find the prime factorization of 5562
5562 = 2 x 3 x 3 x 3 x 103
Step 2: Find the prime factorization of 5567
5567 = 19 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30963654 = 2 x 3 x 3 x 3 x 19 x 103 x 293
Step 4: Therefore, the least common multiple of 5562 and 5567 is 30963654.