Least Common Multiple of 7398 and 7405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7398 and 7405 the smallest integer that is 54782190 that is divisible by both numbers.
Least Common Multiple (LCM) of 7398 and 7405 is 54782190.
LCM(7398,7405) = 54782190
LCM of 7398 and 7405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7398 and 7405 by Prime method
- Least Common Multiple of 7398 and 7405 with GCF Formula
LCM of 7398 and 7405 is 54782190
Least common multiple can be found by multiplying the highest exponent prime factors of 7398 and 7405. First we will calculate the prime factors of 7398 and 7405.
Prime Factorization of 7398
| 2 | 7398 |
| 3 | 3699 |
| 3 | 1233 |
| 3 | 411 |
| 137 | 137 |
| 1 |
Prime factors of 7398 are 2, 3,137. Prime factorization of 7398 in exponential form is:
7398 = 21×33×1371
Prime Factorization of 7405
| 5 | 7405 |
| 1481 | 1481 |
| 1 |
Prime factors of 7405 are 5,1481. Prime factorization of 7405 in exponential form is:
7405 = 51×14811
Now multiplying the highest exponent prime factors to calculate the LCM of 7398 and 7405.
LCM(7398,7405) = 21×33×51×1371×14811
LCM(7398,7405) = 54782190
Factors of 7398
List of positive integer factors of 7398 that divides 7398 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
Factors of 7405
List of positive integer factors of 7405 that divides 7405 without a remainder.
1, 5, 1481, 7405
Least Common Multiple of 7398 and 7405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7398 and 7405, than apply into the LCM equation.
GCF(7398,7405) = 1
LCM(7398,7405) = ( 7398 × 7405) / 1
LCM(7398,7405) = 54782190 / 1
LCM(7398,7405) = 54782190
Properties of LCM 7398 and 7405
(i) The LCM of 7405 and 7398 is associative
LCM of 7398 and 7405 = LCM of 7405 and 7398
Related Least Common Multiples of 7398
Related Least Common Multiples of 7405
Frequently Asked Questions on LCM of 7398 and 7405
1. What is the LCM of 7398 and 7405?
Answer: LCM of 7398 and 7405 is 54782190.
2. What are the Factors of 7398?
Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.
3. What are the Factors of 7405?
Answer: Factors of 7405 are 1, 5, 1481, 7405. There are 4 integers that are factors of 7405. The greatest factor of 7405 is 7405.
4. How to Find the LCM of 7398 and 7405?
Answer:
Least Common Multiple of 7398 and 7405 = 54782190
Step 1: Find the prime factorization of 7398
7398 = 2 x 3 x 3 x 3 x 137
Step 2: Find the prime factorization of 7405
7405 = 5 x 1481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54782190 = 2 x 3 x 3 x 3 x 5 x 137 x 1481
Step 4: Therefore, the least common multiple of 7398 and 7405 is 54782190.