Least Common Multiple of 4469 and 4474
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4469 and 4474 the smallest integer that is 19994306 that is divisible by both numbers.
Least Common Multiple (LCM) of 4469 and 4474 is 19994306.
LCM(4469,4474) = 19994306
LCM of 4469 and 4474
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4469 and 4474 by Prime method
- Least Common Multiple of 4469 and 4474 with GCF Formula
LCM of 4469 and 4474 is 19994306
Least common multiple can be found by multiplying the highest exponent prime factors of 4469 and 4474. First we will calculate the prime factors of 4469 and 4474.
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
Prime Factorization of 4474
| 2 | 4474 |
| 2237 | 2237 |
| 1 |
Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:
4474 = 21×22371
Now multiplying the highest exponent prime factors to calculate the LCM of 4469 and 4474.
LCM(4469,4474) = 21×411×1091×22371
LCM(4469,4474) = 19994306
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1, 41, 109, 4469
Factors of 4474
List of positive integer factors of 4474 that divides 4474 without a remainder.
1, 2, 2237, 4474
Least Common Multiple of 4469 and 4474 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4469 and 4474, than apply into the LCM equation.
GCF(4469,4474) = 1
LCM(4469,4474) = ( 4469 × 4474) / 1
LCM(4469,4474) = 19994306 / 1
LCM(4469,4474) = 19994306
Properties of LCM 4469 and 4474
(i) The LCM of 4474 and 4469 is associative
LCM of 4469 and 4474 = LCM of 4474 and 4469
Related Least Common Multiples of 4469
Related Least Common Multiples of 4474
Frequently Asked Questions on LCM of 4469 and 4474
1. What is the LCM of 4469 and 4474?
Answer: LCM of 4469 and 4474 is 19994306.
2. 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.
3. What are the Factors of 4474?
Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.
4. How to Find the LCM of 4469 and 4474?
Answer:
Least Common Multiple of 4469 and 4474 = 19994306
Step 1: Find the prime factorization of 4469
4469 = 41 x 109
Step 2: Find the prime factorization of 4474
4474 = 2 x 2237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19994306 = 2 x 41 x 109 x 2237
Step 4: Therefore, the least common multiple of 4469 and 4474 is 19994306.