Least Common Multiple of 7434 and 7439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7434 and 7439 the smallest integer that is 55301526 that is divisible by both numbers.
Least Common Multiple (LCM) of 7434 and 7439 is 55301526.
LCM(7434,7439) = 55301526
LCM of 7434 and 7439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7434 and 7439 by Prime method
- Least Common Multiple of 7434 and 7439 with GCF Formula
LCM of 7434 and 7439 is 55301526
Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7439. First we will calculate the prime factors of 7434 and 7439.
Prime Factorization of 7434
| 2 | 7434 |
| 3 | 3717 |
| 3 | 1239 |
| 7 | 413 |
| 59 | 59 |
| 1 |
Prime factors of 7434 are 2, 3, 7,59. Prime factorization of 7434 in exponential form is:
7434 = 21×32×71×591
Prime Factorization of 7439
| 43 | 7439 |
| 173 | 173 |
| 1 |
Prime factors of 7439 are 43,173. Prime factorization of 7439 in exponential form is:
7439 = 431×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7439.
LCM(7434,7439) = 21×32×71×431×591×1731
LCM(7434,7439) = 55301526
Factors of 7434
List of positive integer factors of 7434 that divides 7434 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434
Factors of 7439
List of positive integer factors of 7439 that divides 7439 without a remainder.
1, 43, 173, 7439
Least Common Multiple of 7434 and 7439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7434 and 7439, than apply into the LCM equation.
GCF(7434,7439) = 1
LCM(7434,7439) = ( 7434 × 7439) / 1
LCM(7434,7439) = 55301526 / 1
LCM(7434,7439) = 55301526
Properties of LCM 7434 and 7439
(i) The LCM of 7439 and 7434 is associative
LCM of 7434 and 7439 = LCM of 7439 and 7434
Related Least Common Multiples of 7434
Related Least Common Multiples of 7439
Frequently Asked Questions on LCM of 7434 and 7439
1. What is the LCM of 7434 and 7439?
Answer: LCM of 7434 and 7439 is 55301526.
2. What are the Factors of 7434?
Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.
3. What are the Factors of 7439?
Answer: Factors of 7439 are 1, 43, 173, 7439. There are 4 integers that are factors of 7439. The greatest factor of 7439 is 7439.
4. How to Find the LCM of 7434 and 7439?
Answer:
Least Common Multiple of 7434 and 7439 = 55301526
Step 1: Find the prime factorization of 7434
7434 = 2 x 3 x 3 x 7 x 59
Step 2: Find the prime factorization of 7439
7439 = 43 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55301526 = 2 x 3 x 3 x 7 x 43 x 59 x 173
Step 4: Therefore, the least common multiple of 7434 and 7439 is 55301526.