Least Common Multiple of 5405 and 5412
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5405 and 5412 the smallest integer that is 29251860 that is divisible by both numbers.
Least Common Multiple (LCM) of 5405 and 5412 is 29251860.
LCM(5405,5412) = 29251860
LCM of 5405 and 5412
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5405 and 5412 by Prime method
- Least Common Multiple of 5405 and 5412 with GCF Formula
LCM of 5405 and 5412 is 29251860
Least common multiple can be found by multiplying the highest exponent prime factors of 5405 and 5412. First we will calculate the prime factors of 5405 and 5412.
Prime Factorization of 5405
| 5 | 5405 |
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 5405 are 5, 23,47. Prime factorization of 5405 in exponential form is:
5405 = 51×231×471
Prime Factorization of 5412
| 2 | 5412 |
| 2 | 2706 |
| 3 | 1353 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 5412 are 2, 3, 11,41. Prime factorization of 5412 in exponential form is:
5412 = 22×31×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5405 and 5412.
LCM(5405,5412) = 22×31×51×111×231×411×471
LCM(5405,5412) = 29251860
Factors of 5405
List of positive integer factors of 5405 that divides 5405 without a remainder.
1, 5, 23, 47, 115, 235, 1081, 5405
Factors of 5412
List of positive integer factors of 5412 that divides 5412 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
Least Common Multiple of 5405 and 5412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5405 and 5412, than apply into the LCM equation.
GCF(5405,5412) = 1
LCM(5405,5412) = ( 5405 × 5412) / 1
LCM(5405,5412) = 29251860 / 1
LCM(5405,5412) = 29251860
Properties of LCM 5405 and 5412
(i) The LCM of 5412 and 5405 is associative
LCM of 5405 and 5412 = LCM of 5412 and 5405
Related Least Common Multiples of 5405
Related Least Common Multiples of 5412
Frequently Asked Questions on LCM of 5405 and 5412
1. What is the LCM of 5405 and 5412?
Answer: LCM of 5405 and 5412 is 29251860.
2. What are the Factors of 5405?
Answer: Factors of 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405. There are 8 integers that are factors of 5405. The greatest factor of 5405 is 5405.
3. What are the Factors of 5412?
Answer: Factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412. There are 24 integers that are factors of 5412. The greatest factor of 5412 is 5412.
4. How to Find the LCM of 5405 and 5412?
Answer:
Least Common Multiple of 5405 and 5412 = 29251860
Step 1: Find the prime factorization of 5405
5405 = 5 x 23 x 47
Step 2: Find the prime factorization of 5412
5412 = 2 x 2 x 3 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29251860 = 2 x 2 x 3 x 5 x 11 x 23 x 41 x 47
Step 4: Therefore, the least common multiple of 5405 and 5412 is 29251860.