Least Common Multiple of 5467 and 5473
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 5473 the smallest integer that is 29920891 that is divisible by both numbers.
Least Common Multiple (LCM) of 5467 and 5473 is 29920891.
LCM(5467,5473) = 29920891
LCM of 5467 and 5473
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5467 and 5473 by Prime method
- Least Common Multiple of 5467 and 5473 with GCF Formula
LCM of 5467 and 5473 is 29920891
Least common multiple can be found by multiplying the highest exponent prime factors of 5467 and 5473. First we will calculate the prime factors of 5467 and 5473.
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 5473
| 13 | 5473 |
| 421 | 421 |
| 1 |
Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:
5473 = 131×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 5467 and 5473.
LCM(5467,5473) = 71×111×131×711×4211
LCM(5467,5473) = 29920891
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 5473
List of positive integer factors of 5473 that divides 5473 without a remainder.
1, 13, 421, 5473
Least Common Multiple of 5467 and 5473 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 5473, than apply into the LCM equation.
GCF(5467,5473) = 1
LCM(5467,5473) = ( 5467 × 5473) / 1
LCM(5467,5473) = 29920891 / 1
LCM(5467,5473) = 29920891
Properties of LCM 5467 and 5473
(i) The LCM of 5473 and 5467 is associative
LCM of 5467 and 5473 = LCM of 5473 and 5467
Related Least Common Multiples of 5467
Related Least Common Multiples of 5473
Frequently Asked Questions on LCM of 5467 and 5473
1. What is the LCM of 5467 and 5473?
Answer: LCM of 5467 and 5473 is 29920891.
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 5473?
Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.
4. How to Find the LCM of 5467 and 5473?
Answer:
Least Common Multiple of 5467 and 5473 = 29920891
Step 1: Find the prime factorization of 5467
5467 = 7 x 11 x 71
Step 2: Find the prime factorization of 5473
5473 = 13 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29920891 = 7 x 11 x 13 x 71 x 421
Step 4: Therefore, the least common multiple of 5467 and 5473 is 29920891.