Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10155 and 10159 the smallest integer that is 103164645 that is divisible by both numbers.
Least Common Multiple (LCM) of 10155 and 10159 is 103164645.
LCM(10155,10159) = 103164645
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 10155 and 10159. First we will calculate the prime factors of 10155 and 10159.
Prime Factorization of 10155
3 | 10155 |
5 | 3385 |
677 | 677 |
1 |
Prime factors of 10155 are 3, 5,677. Prime factorization of 10155 in exponential form is:
10155 = 31×51×6771
Prime Factorization of 10159
10159 | 10159 |
1 |
Prime factors of 10159 are 10159. Prime factorization of 10159 in exponential form is:
10159 = 101591
Now multiplying the highest exponent prime factors to calculate the LCM of 10155 and 10159.
LCM(10155,10159) = 31×51×6771×101591
LCM(10155,10159) = 103164645
Factors of 10155
List of positive integer factors of 10155 that divides 10155 without a remainder.
1, 3, 5, 15, 677, 2031, 3385, 10155
Factors of 10159
List of positive integer factors of 10159 that divides 10159 without a remainder.
1, 10159
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10155 and 10159, than apply into the LCM equation.
GCF(10155,10159) = 1
LCM(10155,10159) = ( 10155 × 10159) / 1
LCM(10155,10159) = 103164645 / 1
LCM(10155,10159) = 103164645
(i) The LCM of 10159 and 10155 is associative
LCM of 10155 and 10159 = LCM of 10159 and 10155
1. What is the LCM of 10155 and 10159?
Answer: LCM of 10155 and 10159 is 103164645.
2. What are the Factors of 10155?
Answer: Factors of 10155 are 1, 3, 5, 15, 677, 2031, 3385, 10155. There are 8 integers that are factors of 10155. The greatest factor of 10155 is 10155.
3. What are the Factors of 10159?
Answer: Factors of 10159 are 1, 10159. There are 2 integers that are factors of 10159. The greatest factor of 10159 is 10159.
4. How to Find the LCM of 10155 and 10159?
Answer:
Least Common Multiple of 10155 and 10159 = 103164645
Step 1: Find the prime factorization of 10155
10155 = 3 x 5 x 677
Step 2: Find the prime factorization of 10159
10159 = 10159
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103164645 = 3 x 5 x 677 x 10159
Step 4: Therefore, the least common multiple of 10155 and 10159 is 103164645.