Least Common Multiple of 7434 and 7441
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 7441 the smallest integer that is 7902342 that is divisible by both numbers.
Least Common Multiple (LCM) of 7434 and 7441 is 7902342.
LCM(7434,7441) = 7902342
LCM of 7434 and 7441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7434 and 7441 by Prime method
- Least Common Multiple of 7434 and 7441 with GCF Formula
LCM of 7434 and 7441 is 7902342
Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7441. First we will calculate the prime factors of 7434 and 7441.
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 7441
| 7 | 7441 |
| 1063 | 1063 |
| 1 |
Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:
7441 = 71×10631
Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7441.
LCM(7434,7441) = 21×32×71×591×10631
LCM(7434,7441) = 7902342
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 7441
List of positive integer factors of 7441 that divides 7441 without a remainder.
1, 7, 1063, 7441
Least Common Multiple of 7434 and 7441 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 7441, than apply into the LCM equation.
GCF(7434,7441) = 7
LCM(7434,7441) = ( 7434 × 7441) / 7
LCM(7434,7441) = 55316394 / 7
LCM(7434,7441) = 7902342
Properties of LCM 7434 and 7441
(i) The LCM of 7441 and 7434 is associative
LCM of 7434 and 7441 = LCM of 7441 and 7434
Related Least Common Multiples of 7434
Related Least Common Multiples of 7441
Frequently Asked Questions on LCM of 7434 and 7441
1. What is the LCM of 7434 and 7441?
Answer: LCM of 7434 and 7441 is 7902342.
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 7441?
Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.
4. How to Find the LCM of 7434 and 7441?
Answer:
Least Common Multiple of 7434 and 7441 = 7902342
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 7441
7441 = 7 x 1063
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7902342 = 2 x 3 x 3 x 7 x 59 x 1063
Step 4: Therefore, the least common multiple of 7434 and 7441 is 7902342.