Least Common Multiple of 5461 and 5467
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5461 and 5467 the smallest integer that is 29855287 that is divisible by both numbers.
Least Common Multiple (LCM) of 5461 and 5467 is 29855287.
LCM(5461,5467) = 29855287
LCM of 5461 and 5467
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5461 and 5467 by Prime method
- Least Common Multiple of 5461 and 5467 with GCF Formula
LCM of 5461 and 5467 is 29855287
Least common multiple can be found by multiplying the highest exponent prime factors of 5461 and 5467. First we will calculate the prime factors of 5461 and 5467.
Prime Factorization of 5461
| 43 | 5461 |
| 127 | 127 |
| 1 |
Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:
5461 = 431×1271
Prime Factorization of 5467
| 7 | 5467 |
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 5467 are 7, 11,71. Prime factorization of 5467 in exponential form is:
5467 = 71×111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5467.
LCM(5461,5467) = 71×111×431×711×1271
LCM(5461,5467) = 29855287
Factors of 5461
List of positive integer factors of 5461 that divides 5461 without a remainder.
1, 43, 127, 5461
Factors of 5467
List of positive integer factors of 5467 that divides 5467 without a remainder.
1, 7, 11, 71, 77, 497, 781, 5467
Least Common Multiple of 5461 and 5467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5467, than apply into the LCM equation.
GCF(5461,5467) = 1
LCM(5461,5467) = ( 5461 × 5467) / 1
LCM(5461,5467) = 29855287 / 1
LCM(5461,5467) = 29855287
Properties of LCM 5461 and 5467
(i) The LCM of 5467 and 5461 is associative
LCM of 5461 and 5467 = LCM of 5467 and 5461
Related Least Common Multiples of 5461
Related Least Common Multiples of 5467
Frequently Asked Questions on LCM of 5461 and 5467
1. What is the LCM of 5461 and 5467?
Answer: LCM of 5461 and 5467 is 29855287.
2. What are the Factors of 5461?
Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.
3. What are the Factors of 5467?
Answer: Factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467. There are 8 integers that are factors of 5467. The greatest factor of 5467 is 5467.
4. How to Find the LCM of 5461 and 5467?
Answer:
Least Common Multiple of 5461 and 5467 = 29855287
Step 1: Find the prime factorization of 5461
5461 = 43 x 127
Step 2: Find the prime factorization of 5467
5467 = 7 x 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29855287 = 7 x 11 x 43 x 71 x 127
Step 4: Therefore, the least common multiple of 5461 and 5467 is 29855287.