Least Common Multiple of 7133 and 7141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7133 and 7141 the smallest integer that is 50936753 that is divisible by both numbers.
Least Common Multiple (LCM) of 7133 and 7141 is 50936753.
LCM(7133,7141) = 50936753
LCM of 7133 and 7141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7133 and 7141 by Prime method
- Least Common Multiple of 7133 and 7141 with GCF Formula
LCM of 7133 and 7141 is 50936753
Least common multiple can be found by multiplying the highest exponent prime factors of 7133 and 7141. First we will calculate the prime factors of 7133 and 7141.
Prime Factorization of 7133
| 7 | 7133 |
| 1019 | 1019 |
| 1 |
Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:
7133 = 71×10191
Prime Factorization of 7141
| 37 | 7141 |
| 193 | 193 |
| 1 |
Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:
7141 = 371×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 7133 and 7141.
LCM(7133,7141) = 71×371×1931×10191
LCM(7133,7141) = 50936753
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1, 7, 1019, 7133
Factors of 7141
List of positive integer factors of 7141 that divides 7141 without a remainder.
1, 37, 193, 7141
Least Common Multiple of 7133 and 7141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7133 and 7141, than apply into the LCM equation.
GCF(7133,7141) = 1
LCM(7133,7141) = ( 7133 × 7141) / 1
LCM(7133,7141) = 50936753 / 1
LCM(7133,7141) = 50936753
Properties of LCM 7133 and 7141
(i) The LCM of 7141 and 7133 is associative
LCM of 7133 and 7141 = LCM of 7141 and 7133
Related Least Common Multiples of 7133
Related Least Common Multiples of 7141
Frequently Asked Questions on LCM of 7133 and 7141
1. What is the LCM of 7133 and 7141?
Answer: LCM of 7133 and 7141 is 50936753.
2. What are the Factors of 7133?
Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.
3. What are the Factors of 7141?
Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.
4. How to Find the LCM of 7133 and 7141?
Answer:
Least Common Multiple of 7133 and 7141 = 50936753
Step 1: Find the prime factorization of 7133
7133 = 7 x 1019
Step 2: Find the prime factorization of 7141
7141 = 37 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50936753 = 7 x 37 x 193 x 1019
Step 4: Therefore, the least common multiple of 7133 and 7141 is 50936753.