Least Common Multiple of 7373 and 7381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7373 and 7381 the smallest integer that is 54420113 that is divisible by both numbers.
Least Common Multiple (LCM) of 7373 and 7381 is 54420113.
LCM(7373,7381) = 54420113
LCM of 7373 and 7381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7373 and 7381 by Prime method
- Least Common Multiple of 7373 and 7381 with GCF Formula
LCM of 7373 and 7381 is 54420113
Least common multiple can be found by multiplying the highest exponent prime factors of 7373 and 7381. First we will calculate the prime factors of 7373 and 7381.
Prime Factorization of 7373
| 73 | 7373 |
| 101 | 101 |
| 1 |
Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:
7373 = 731×1011
Prime Factorization of 7381
| 11 | 7381 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:
7381 = 112×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7373 and 7381.
LCM(7373,7381) = 112×611×731×1011
LCM(7373,7381) = 54420113
Factors of 7373
List of positive integer factors of 7373 that divides 7373 without a remainder.
1, 73, 101, 7373
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1, 11, 61, 121, 671, 7381
Least Common Multiple of 7373 and 7381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7373 and 7381, than apply into the LCM equation.
GCF(7373,7381) = 1
LCM(7373,7381) = ( 7373 × 7381) / 1
LCM(7373,7381) = 54420113 / 1
LCM(7373,7381) = 54420113
Properties of LCM 7373 and 7381
(i) The LCM of 7381 and 7373 is associative
LCM of 7373 and 7381 = LCM of 7381 and 7373
Related Least Common Multiples of 7373
Related Least Common Multiples of 7381
Frequently Asked Questions on LCM of 7373 and 7381
1. What is the LCM of 7373 and 7381?
Answer: LCM of 7373 and 7381 is 54420113.
2. What are the Factors of 7373?
Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.
3. What are the Factors of 7381?
Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.
4. How to Find the LCM of 7373 and 7381?
Answer:
Least Common Multiple of 7373 and 7381 = 54420113
Step 1: Find the prime factorization of 7373
7373 = 73 x 101
Step 2: Find the prime factorization of 7381
7381 = 11 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54420113 = 11 x 11 x 61 x 73 x 101
Step 4: Therefore, the least common multiple of 7373 and 7381 is 54420113.