Least Common Multiple of 5310 and 5315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5310 and 5315 the smallest integer that is 5644530 that is divisible by both numbers.
Least Common Multiple (LCM) of 5310 and 5315 is 5644530.
LCM(5310,5315) = 5644530
LCM of 5310 and 5315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5310 and 5315 by Prime method
- Least Common Multiple of 5310 and 5315 with GCF Formula
LCM of 5310 and 5315 is 5644530
Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5315. First we will calculate the prime factors of 5310 and 5315.
Prime Factorization of 5310
| 2 | 5310 |
| 3 | 2655 |
| 3 | 885 |
| 5 | 295 |
| 59 | 59 |
| 1 |
Prime factors of 5310 are 2, 3, 5,59. Prime factorization of 5310 in exponential form is:
5310 = 21×32×51×591
Prime Factorization of 5315
| 5 | 5315 |
| 1063 | 1063 |
| 1 |
Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:
5315 = 51×10631
Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5315.
LCM(5310,5315) = 21×32×51×591×10631
LCM(5310,5315) = 5644530
Factors of 5310
List of positive integer factors of 5310 that divides 5310 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
Factors of 5315
List of positive integer factors of 5315 that divides 5315 without a remainder.
1, 5, 1063, 5315
Least Common Multiple of 5310 and 5315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5310 and 5315, than apply into the LCM equation.
GCF(5310,5315) = 5
LCM(5310,5315) = ( 5310 × 5315) / 5
LCM(5310,5315) = 28222650 / 5
LCM(5310,5315) = 5644530
Properties of LCM 5310 and 5315
(i) The LCM of 5315 and 5310 is associative
LCM of 5310 and 5315 = LCM of 5315 and 5310
Related Least Common Multiples of 5310
Related Least Common Multiples of 5315
Frequently Asked Questions on LCM of 5310 and 5315
1. What is the LCM of 5310 and 5315?
Answer: LCM of 5310 and 5315 is 5644530.
2. What are the Factors of 5310?
Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.
3. What are the Factors of 5315?
Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.
4. How to Find the LCM of 5310 and 5315?
Answer:
Least Common Multiple of 5310 and 5315 = 5644530
Step 1: Find the prime factorization of 5310
5310 = 2 x 3 x 3 x 5 x 59
Step 2: Find the prime factorization of 5315
5315 = 5 x 1063
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5644530 = 2 x 3 x 3 x 5 x 59 x 1063
Step 4: Therefore, the least common multiple of 5310 and 5315 is 5644530.