Least Common Multiple of 7153 and 7157
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7153 and 7157 the smallest integer that is 51194021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7153 and 7157 is 51194021.
LCM(7153,7157) = 51194021
LCM of 7153 and 7157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7153 and 7157 by Prime method
- Least Common Multiple of 7153 and 7157 with GCF Formula
LCM of 7153 and 7157 is 51194021
Least common multiple can be found by multiplying the highest exponent prime factors of 7153 and 7157. First we will calculate the prime factors of 7153 and 7157.
Prime Factorization of 7153
| 23 | 7153 |
| 311 | 311 |
| 1 |
Prime factors of 7153 are 23,311. Prime factorization of 7153 in exponential form is:
7153 = 231×3111
Prime Factorization of 7157
| 17 | 7157 |
| 421 | 421 |
| 1 |
Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:
7157 = 171×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 7153 and 7157.
LCM(7153,7157) = 171×231×3111×4211
LCM(7153,7157) = 51194021
Factors of 7153
List of positive integer factors of 7153 that divides 7153 without a remainder.
1, 23, 311, 7153
Factors of 7157
List of positive integer factors of 7157 that divides 7157 without a remainder.
1, 17, 421, 7157
Least Common Multiple of 7153 and 7157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7153 and 7157, than apply into the LCM equation.
GCF(7153,7157) = 1
LCM(7153,7157) = ( 7153 × 7157) / 1
LCM(7153,7157) = 51194021 / 1
LCM(7153,7157) = 51194021
Properties of LCM 7153 and 7157
(i) The LCM of 7157 and 7153 is associative
LCM of 7153 and 7157 = LCM of 7157 and 7153
Related Least Common Multiples of 7153
Related Least Common Multiples of 7157
Frequently Asked Questions on LCM of 7153 and 7157
1. What is the LCM of 7153 and 7157?
Answer: LCM of 7153 and 7157 is 51194021.
2. What are the Factors of 7153?
Answer: Factors of 7153 are 1, 23, 311, 7153. There are 4 integers that are factors of 7153. The greatest factor of 7153 is 7153.
3. What are the Factors of 7157?
Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.
4. How to Find the LCM of 7153 and 7157?
Answer:
Least Common Multiple of 7153 and 7157 = 51194021
Step 1: Find the prime factorization of 7153
7153 = 23 x 311
Step 2: Find the prime factorization of 7157
7157 = 17 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51194021 = 17 x 23 x 311 x 421
Step 4: Therefore, the least common multiple of 7153 and 7157 is 51194021.