Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5110 and 5115 the smallest integer that is 5227530 that is divisible by both numbers.
Least Common Multiple (LCM) of 5110 and 5115 is 5227530.
LCM(5110,5115) = 5227530
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 5110 and 5115. First we will calculate the prime factors of 5110 and 5115.
Prime Factorization of 5110
2 | 5110 |
5 | 2555 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 5110 are 2, 5, 7,73. Prime factorization of 5110 in exponential form is:
5110 = 21×51×71×731
Prime Factorization of 5115
3 | 5115 |
5 | 1705 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 5115 are 3, 5, 11,31. Prime factorization of 5115 in exponential form is:
5115 = 31×51×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5110 and 5115.
LCM(5110,5115) = 21×31×51×71×111×311×731
LCM(5110,5115) = 5227530
Factors of 5110
List of positive integer factors of 5110 that divides 5110 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110
Factors of 5115
List of positive integer factors of 5115 that divides 5115 without a remainder.
1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5110 and 5115, than apply into the LCM equation.
GCF(5110,5115) = 5
LCM(5110,5115) = ( 5110 × 5115) / 5
LCM(5110,5115) = 26137650 / 5
LCM(5110,5115) = 5227530
(i) The LCM of 5115 and 5110 is associative
LCM of 5110 and 5115 = LCM of 5115 and 5110
1. What is the LCM of 5110 and 5115?
Answer: LCM of 5110 and 5115 is 5227530.
2. What are the Factors of 5110?
Answer: Factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110. There are 16 integers that are factors of 5110. The greatest factor of 5110 is 5110.
3. What are the Factors of 5115?
Answer: Factors of 5115 are 1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115. There are 16 integers that are factors of 5115. The greatest factor of 5115 is 5115.
4. How to Find the LCM of 5110 and 5115?
Answer:
Least Common Multiple of 5110 and 5115 = 5227530
Step 1: Find the prime factorization of 5110
5110 = 2 x 5 x 7 x 73
Step 2: Find the prime factorization of 5115
5115 = 3 x 5 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5227530 = 2 x 3 x 5 x 7 x 11 x 31 x 73
Step 4: Therefore, the least common multiple of 5110 and 5115 is 5227530.