Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10143 and 10151 the smallest integer that is 102961593 that is divisible by both numbers.
Least Common Multiple (LCM) of 10143 and 10151 is 102961593.
LCM(10143,10151) = 102961593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 10143 and 10151. First we will calculate the prime factors of 10143 and 10151.
Prime Factorization of 10143
3 | 10143 |
3 | 3381 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:
10143 = 32×72×231
Prime Factorization of 10151
10151 | 10151 |
1 |
Prime factors of 10151 are 10151. Prime factorization of 10151 in exponential form is:
10151 = 101511
Now multiplying the highest exponent prime factors to calculate the LCM of 10143 and 10151.
LCM(10143,10151) = 32×72×231×101511
LCM(10143,10151) = 102961593
Factors of 10143
List of positive integer factors of 10143 that divides 10143 without a remainder.
1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143
Factors of 10151
List of positive integer factors of 10151 that divides 10151 without a remainder.
1, 10151
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10143 and 10151, than apply into the LCM equation.
GCF(10143,10151) = 1
LCM(10143,10151) = ( 10143 × 10151) / 1
LCM(10143,10151) = 102961593 / 1
LCM(10143,10151) = 102961593
(i) The LCM of 10151 and 10143 is associative
LCM of 10143 and 10151 = LCM of 10151 and 10143
1. What is the LCM of 10143 and 10151?
Answer: LCM of 10143 and 10151 is 102961593.
2. What are the Factors of 10143?
Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.
3. What are the Factors of 10151?
Answer: Factors of 10151 are 1, 10151. There are 2 integers that are factors of 10151. The greatest factor of 10151 is 10151.
4. How to Find the LCM of 10143 and 10151?
Answer:
Least Common Multiple of 10143 and 10151 = 102961593
Step 1: Find the prime factorization of 10143
10143 = 3 x 3 x 7 x 7 x 23
Step 2: Find the prime factorization of 10151
10151 = 10151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102961593 = 3 x 3 x 7 x 7 x 23 x 10151
Step 4: Therefore, the least common multiple of 10143 and 10151 is 102961593.