Least Common Multiple of 7398 and 7401
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 7401 the smallest integer that is 18250866 that is divisible by both numbers.
Least Common Multiple (LCM) of 7398 and 7401 is 18250866.
LCM(7398,7401) = 18250866
LCM of 7398 and 7401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7398 and 7401 by Prime method
- Least Common Multiple of 7398 and 7401 with GCF Formula
LCM of 7398 and 7401 is 18250866
Least common multiple can be found by multiplying the highest exponent prime factors of 7398 and 7401. First we will calculate the prime factors of 7398 and 7401.
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 7401
| 3 | 7401 |
| 2467 | 2467 |
| 1 |
Prime factors of 7401 are 3,2467. Prime factorization of 7401 in exponential form is:
7401 = 31×24671
Now multiplying the highest exponent prime factors to calculate the LCM of 7398 and 7401.
LCM(7398,7401) = 21×33×1371×24671
LCM(7398,7401) = 18250866
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 7401
List of positive integer factors of 7401 that divides 7401 without a remainder.
1, 3, 2467, 7401
Least Common Multiple of 7398 and 7401 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 7401, than apply into the LCM equation.
GCF(7398,7401) = 3
LCM(7398,7401) = ( 7398 × 7401) / 3
LCM(7398,7401) = 54752598 / 3
LCM(7398,7401) = 18250866
Properties of LCM 7398 and 7401
(i) The LCM of 7401 and 7398 is associative
LCM of 7398 and 7401 = LCM of 7401 and 7398
Related Least Common Multiples of 7398
Related Least Common Multiples of 7401
Frequently Asked Questions on LCM of 7398 and 7401
1. What is the LCM of 7398 and 7401?
Answer: LCM of 7398 and 7401 is 18250866.
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 7401?
Answer: Factors of 7401 are 1, 3, 2467, 7401. There are 4 integers that are factors of 7401. The greatest factor of 7401 is 7401.
4. How to Find the LCM of 7398 and 7401?
Answer:
Least Common Multiple of 7398 and 7401 = 18250866
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 7401
7401 = 3 x 2467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18250866 = 2 x 3 x 3 x 3 x 137 x 2467
Step 4: Therefore, the least common multiple of 7398 and 7401 is 18250866.