Least Common Multiple of 5446 and 5451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5446 and 5451 the smallest integer that is 29686146 that is divisible by both numbers.
Least Common Multiple (LCM) of 5446 and 5451 is 29686146.
LCM(5446,5451) = 29686146
LCM of 5446 and 5451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5446 and 5451 by Prime method
- Least Common Multiple of 5446 and 5451 with GCF Formula
LCM of 5446 and 5451 is 29686146
Least common multiple can be found by multiplying the highest exponent prime factors of 5446 and 5451. First we will calculate the prime factors of 5446 and 5451.
Prime Factorization of 5446
| 2 | 5446 |
| 7 | 2723 |
| 389 | 389 |
| 1 |
Prime factors of 5446 are 2, 7,389. Prime factorization of 5446 in exponential form is:
5446 = 21×71×3891
Prime Factorization of 5451
| 3 | 5451 |
| 23 | 1817 |
| 79 | 79 |
| 1 |
Prime factors of 5451 are 3, 23,79. Prime factorization of 5451 in exponential form is:
5451 = 31×231×791
Now multiplying the highest exponent prime factors to calculate the LCM of 5446 and 5451.
LCM(5446,5451) = 21×31×71×231×791×3891
LCM(5446,5451) = 29686146
Factors of 5446
List of positive integer factors of 5446 that divides 5446 without a remainder.
1, 2, 7, 14, 389, 778, 2723, 5446
Factors of 5451
List of positive integer factors of 5451 that divides 5451 without a remainder.
1, 3, 23, 69, 79, 237, 1817, 5451
Least Common Multiple of 5446 and 5451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5446 and 5451, than apply into the LCM equation.
GCF(5446,5451) = 1
LCM(5446,5451) = ( 5446 × 5451) / 1
LCM(5446,5451) = 29686146 / 1
LCM(5446,5451) = 29686146
Properties of LCM 5446 and 5451
(i) The LCM of 5451 and 5446 is associative
LCM of 5446 and 5451 = LCM of 5451 and 5446
Related Least Common Multiples of 5446
Related Least Common Multiples of 5451
Frequently Asked Questions on LCM of 5446 and 5451
1. What is the LCM of 5446 and 5451?
Answer: LCM of 5446 and 5451 is 29686146.
2. What are the Factors of 5446?
Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.
3. What are the Factors of 5451?
Answer: Factors of 5451 are 1, 3, 23, 69, 79, 237, 1817, 5451. There are 8 integers that are factors of 5451. The greatest factor of 5451 is 5451.
4. How to Find the LCM of 5446 and 5451?
Answer:
Least Common Multiple of 5446 and 5451 = 29686146
Step 1: Find the prime factorization of 5446
5446 = 2 x 7 x 389
Step 2: Find the prime factorization of 5451
5451 = 3 x 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29686146 = 2 x 3 x 7 x 23 x 79 x 389
Step 4: Therefore, the least common multiple of 5446 and 5451 is 29686146.