Least Common Multiple of 5662 and 5667
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5662 and 5667 the smallest integer that is 32086554 that is divisible by both numbers.
Least Common Multiple (LCM) of 5662 and 5667 is 32086554.
LCM(5662,5667) = 32086554
LCM of 5662 and 5667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5662 and 5667 by Prime method
- Least Common Multiple of 5662 and 5667 with GCF Formula
LCM of 5662 and 5667 is 32086554
Least common multiple can be found by multiplying the highest exponent prime factors of 5662 and 5667. First we will calculate the prime factors of 5662 and 5667.
Prime Factorization of 5662
| 2 | 5662 |
| 19 | 2831 |
| 149 | 149 |
| 1 |
Prime factors of 5662 are 2, 19,149. Prime factorization of 5662 in exponential form is:
5662 = 21×191×1491
Prime Factorization of 5667
| 3 | 5667 |
| 1889 | 1889 |
| 1 |
Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:
5667 = 31×18891
Now multiplying the highest exponent prime factors to calculate the LCM of 5662 and 5667.
LCM(5662,5667) = 21×31×191×1491×18891
LCM(5662,5667) = 32086554
Factors of 5662
List of positive integer factors of 5662 that divides 5662 without a remainder.
1, 2, 19, 38, 149, 298, 2831, 5662
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1, 3, 1889, 5667
Least Common Multiple of 5662 and 5667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5662 and 5667, than apply into the LCM equation.
GCF(5662,5667) = 1
LCM(5662,5667) = ( 5662 × 5667) / 1
LCM(5662,5667) = 32086554 / 1
LCM(5662,5667) = 32086554
Properties of LCM 5662 and 5667
(i) The LCM of 5667 and 5662 is associative
LCM of 5662 and 5667 = LCM of 5667 and 5662
Related Least Common Multiples of 5662
Related Least Common Multiples of 5667
Frequently Asked Questions on LCM of 5662 and 5667
1. What is the LCM of 5662 and 5667?
Answer: LCM of 5662 and 5667 is 32086554.
2. What are the Factors of 5662?
Answer: Factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662. There are 8 integers that are factors of 5662. The greatest factor of 5662 is 5662.
3. What are the Factors of 5667?
Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.
4. How to Find the LCM of 5662 and 5667?
Answer:
Least Common Multiple of 5662 and 5667 = 32086554
Step 1: Find the prime factorization of 5662
5662 = 2 x 19 x 149
Step 2: Find the prime factorization of 5667
5667 = 3 x 1889
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32086554 = 2 x 3 x 19 x 149 x 1889
Step 4: Therefore, the least common multiple of 5662 and 5667 is 32086554.