Least Common Multiple of 4467 and 4469
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4467 and 4469 the smallest integer that is 19963023 that is divisible by both numbers.
Least Common Multiple (LCM) of 4467 and 4469 is 19963023.
LCM(4467,4469) = 19963023
LCM of 4467 and 4469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4467 and 4469 by Prime method
- Least Common Multiple of 4467 and 4469 with GCF Formula
LCM of 4467 and 4469 is 19963023
Least common multiple can be found by multiplying the highest exponent prime factors of 4467 and 4469. First we will calculate the prime factors of 4467 and 4469.
Prime Factorization of 4467
| 3 | 4467 |
| 1489 | 1489 |
| 1 |
Prime factors of 4467 are 3,1489. Prime factorization of 4467 in exponential form is:
4467 = 31×14891
Prime Factorization of 4469
| 41 | 4469 |
| 109 | 109 |
| 1 |
Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:
4469 = 411×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 4467 and 4469.
LCM(4467,4469) = 31×411×1091×14891
LCM(4467,4469) = 19963023
Factors of 4467
List of positive integer factors of 4467 that divides 4467 without a remainder.
1, 3, 1489, 4467
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1, 41, 109, 4469
Least Common Multiple of 4467 and 4469 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4467 and 4469, than apply into the LCM equation.
GCF(4467,4469) = 1
LCM(4467,4469) = ( 4467 × 4469) / 1
LCM(4467,4469) = 19963023 / 1
LCM(4467,4469) = 19963023
Properties of LCM 4467 and 4469
(i) The LCM of 4469 and 4467 is associative
LCM of 4467 and 4469 = LCM of 4469 and 4467
Related Least Common Multiples of 4467
Related Least Common Multiples of 4469
Frequently Asked Questions on LCM of 4467 and 4469
1. What is the LCM of 4467 and 4469?
Answer: LCM of 4467 and 4469 is 19963023.
2. What are the Factors of 4467?
Answer: Factors of 4467 are 1, 3, 1489, 4467. There are 4 integers that are factors of 4467. The greatest factor of 4467 is 4467.
3. What are the Factors of 4469?
Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.
4. How to Find the LCM of 4467 and 4469?
Answer:
Least Common Multiple of 4467 and 4469 = 19963023
Step 1: Find the prime factorization of 4467
4467 = 3 x 1489
Step 2: Find the prime factorization of 4469
4469 = 41 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19963023 = 3 x 41 x 109 x 1489
Step 4: Therefore, the least common multiple of 4467 and 4469 is 19963023.