Least Common Multiple of 7367 and 7373
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7367 and 7373 the smallest integer that is 54316891 that is divisible by both numbers.
Least Common Multiple (LCM) of 7367 and 7373 is 54316891.
LCM(7367,7373) = 54316891
LCM of 7367 and 7373
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7367 and 7373 by Prime method
- Least Common Multiple of 7367 and 7373 with GCF Formula
LCM of 7367 and 7373 is 54316891
Least common multiple can be found by multiplying the highest exponent prime factors of 7367 and 7373. First we will calculate the prime factors of 7367 and 7373.
Prime Factorization of 7367
| 53 | 7367 |
| 139 | 139 |
| 1 |
Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:
7367 = 531×1391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7367 and 7373.
LCM(7367,7373) = 531×731×1011×1391
LCM(7367,7373) = 54316891
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1, 53, 139, 7367
Factors of 7373
List of positive integer factors of 7373 that divides 7373 without a remainder.
1, 73, 101, 7373
Least Common Multiple of 7367 and 7373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7367 and 7373, than apply into the LCM equation.
GCF(7367,7373) = 1
LCM(7367,7373) = ( 7367 × 7373) / 1
LCM(7367,7373) = 54316891 / 1
LCM(7367,7373) = 54316891
Properties of LCM 7367 and 7373
(i) The LCM of 7373 and 7367 is associative
LCM of 7367 and 7373 = LCM of 7373 and 7367
Related Least Common Multiples of 7367
Related Least Common Multiples of 7373
Frequently Asked Questions on LCM of 7367 and 7373
1. What is the LCM of 7367 and 7373?
Answer: LCM of 7367 and 7373 is 54316891.
2. What are the Factors of 7367?
Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.
3. 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.
4. How to Find the LCM of 7367 and 7373?
Answer:
Least Common Multiple of 7367 and 7373 = 54316891
Step 1: Find the prime factorization of 7367
7367 = 53 x 139
Step 2: Find the prime factorization of 7373
7373 = 73 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54316891 = 53 x 73 x 101 x 139
Step 4: Therefore, the least common multiple of 7367 and 7373 is 54316891.