Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10139 and 10145 the smallest integer that is 102860155 that is divisible by both numbers.
Least Common Multiple (LCM) of 10139 and 10145 is 102860155.
LCM(10139,10145) = 102860155
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 10139 and 10145. First we will calculate the prime factors of 10139 and 10145.
Prime Factorization of 10139
10139 | 10139 |
1 |
Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:
10139 = 101391
Prime Factorization of 10145
5 | 10145 |
2029 | 2029 |
1 |
Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:
10145 = 51×20291
Now multiplying the highest exponent prime factors to calculate the LCM of 10139 and 10145.
LCM(10139,10145) = 51×20291×101391
LCM(10139,10145) = 102860155
Factors of 10139
List of positive integer factors of 10139 that divides 10139 without a remainder.
1, 10139
Factors of 10145
List of positive integer factors of 10145 that divides 10145 without a remainder.
1, 5, 2029, 10145
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10139 and 10145, than apply into the LCM equation.
GCF(10139,10145) = 1
LCM(10139,10145) = ( 10139 × 10145) / 1
LCM(10139,10145) = 102860155 / 1
LCM(10139,10145) = 102860155
(i) The LCM of 10145 and 10139 is associative
LCM of 10139 and 10145 = LCM of 10145 and 10139
1. What is the LCM of 10139 and 10145?
Answer: LCM of 10139 and 10145 is 102860155.
2. What are the Factors of 10139?
Answer: Factors of 10139 are 1, 10139. There are 2 integers that are factors of 10139. The greatest factor of 10139 is 10139.
3. What are the Factors of 10145?
Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.
4. How to Find the LCM of 10139 and 10145?
Answer:
Least Common Multiple of 10139 and 10145 = 102860155
Step 1: Find the prime factorization of 10139
10139 = 10139
Step 2: Find the prime factorization of 10145
10145 = 5 x 2029
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102860155 = 5 x 2029 x 10139
Step 4: Therefore, the least common multiple of 10139 and 10145 is 102860155.