Least Common Multiple of 7378 and 7383
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7378 and 7383 the smallest integer that is 54471774 that is divisible by both numbers.
Least Common Multiple (LCM) of 7378 and 7383 is 54471774.
LCM(7378,7383) = 54471774
LCM of 7378 and 7383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7378 and 7383 by Prime method
- Least Common Multiple of 7378 and 7383 with GCF Formula
LCM of 7378 and 7383 is 54471774
Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7383. First we will calculate the prime factors of 7378 and 7383.
Prime Factorization of 7378
| 2 | 7378 |
| 7 | 3689 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 7378 are 2, 7, 17,31. Prime factorization of 7378 in exponential form is:
7378 = 21×71×171×311
Prime Factorization of 7383
| 3 | 7383 |
| 23 | 2461 |
| 107 | 107 |
| 1 |
Prime factors of 7383 are 3, 23,107. Prime factorization of 7383 in exponential form is:
7383 = 31×231×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7383.
LCM(7378,7383) = 21×31×71×171×231×311×1071
LCM(7378,7383) = 54471774
Factors of 7378
List of positive integer factors of 7378 that divides 7378 without a remainder.
1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
Factors of 7383
List of positive integer factors of 7383 that divides 7383 without a remainder.
1, 3, 23, 69, 107, 321, 2461, 7383
Least Common Multiple of 7378 and 7383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7378 and 7383, than apply into the LCM equation.
GCF(7378,7383) = 1
LCM(7378,7383) = ( 7378 × 7383) / 1
LCM(7378,7383) = 54471774 / 1
LCM(7378,7383) = 54471774
Properties of LCM 7378 and 7383
(i) The LCM of 7383 and 7378 is associative
LCM of 7378 and 7383 = LCM of 7383 and 7378
Related Least Common Multiples of 7378
Related Least Common Multiples of 7383
Frequently Asked Questions on LCM of 7378 and 7383
1. What is the LCM of 7378 and 7383?
Answer: LCM of 7378 and 7383 is 54471774.
2. What are the Factors of 7378?
Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.
3. What are the Factors of 7383?
Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.
4. How to Find the LCM of 7378 and 7383?
Answer:
Least Common Multiple of 7378 and 7383 = 54471774
Step 1: Find the prime factorization of 7378
7378 = 2 x 7 x 17 x 31
Step 2: Find the prime factorization of 7383
7383 = 3 x 23 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54471774 = 2 x 3 x 7 x 17 x 23 x 31 x 107
Step 4: Therefore, the least common multiple of 7378 and 7383 is 54471774.