Least Common Multiple of 5467 and 5475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5467 and 5475 the smallest integer that is 29931825 that is divisible by both numbers.
Least Common Multiple (LCM) of 5467 and 5475 is 29931825.
LCM(5467,5475) = 29931825
LCM of 5467 and 5475
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5467 and 5475 by Prime method
- Least Common Multiple of 5467 and 5475 with GCF Formula
LCM of 5467 and 5475 is 29931825
Least common multiple can be found by multiplying the highest exponent prime factors of 5467 and 5475. First we will calculate the prime factors of 5467 and 5475.
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
Prime Factorization of 5475
| 3 | 5475 |
| 5 | 1825 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:
5475 = 31×52×731
Now multiplying the highest exponent prime factors to calculate the LCM of 5467 and 5475.
LCM(5467,5475) = 31×52×71×111×711×731
LCM(5467,5475) = 29931825
Factors of 5467
List of positive integer factors of 5467 that divides 5467 without a remainder.
1, 7, 11, 71, 77, 497, 781, 5467
Factors of 5475
List of positive integer factors of 5475 that divides 5475 without a remainder.
1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
Least Common Multiple of 5467 and 5475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5467 and 5475, than apply into the LCM equation.
GCF(5467,5475) = 1
LCM(5467,5475) = ( 5467 × 5475) / 1
LCM(5467,5475) = 29931825 / 1
LCM(5467,5475) = 29931825
Properties of LCM 5467 and 5475
(i) The LCM of 5475 and 5467 is associative
LCM of 5467 and 5475 = LCM of 5475 and 5467
Related Least Common Multiples of 5467
Related Least Common Multiples of 5475
Frequently Asked Questions on LCM of 5467 and 5475
1. What is the LCM of 5467 and 5475?
Answer: LCM of 5467 and 5475 is 29931825.
2. 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.
3. What are the Factors of 5475?
Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.
4. How to Find the LCM of 5467 and 5475?
Answer:
Least Common Multiple of 5467 and 5475 = 29931825
Step 1: Find the prime factorization of 5467
5467 = 7 x 11 x 71
Step 2: Find the prime factorization of 5475
5475 = 3 x 5 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29931825 = 3 x 5 x 5 x 7 x 11 x 71 x 73
Step 4: Therefore, the least common multiple of 5467 and 5475 is 29931825.