Least Common Multiple of 315 and 316
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 315 and 316 the smallest integer that is 99540 that is divisible by both numbers.
Least Common Multiple (LCM) of 315 and 316 is 99540.
LCM(315,316) = 99540
LCM of 315 and 316
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 315 and 316 by Prime method
- Least Common Multiple of 315 and 316 with GCF Formula
LCM of 315 and 316 is 99540
Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 316. First we will calculate the prime factors of 315 and 316.
Prime Factorization of 315
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 315 are 3, 5,7. Prime factorization of 315 in exponential form is:
315 = 32×51×71
Prime Factorization of 316
| 2 | 316 |
| 2 | 158 |
| 79 | 79 |
| 1 |
Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:
316 = 22×791
Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 316.
LCM(315,316) = 22×32×51×71×791
LCM(315,316) = 99540
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Least Common Multiple of 315 and 316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 316, than apply into the LCM equation.
GCF(315,316) = 1
LCM(315,316) = ( 315 × 316) / 1
LCM(315,316) = 99540 / 1
LCM(315,316) = 99540
Properties of LCM 315 and 316
(i) The LCM of 316 and 315 is associative
LCM of 315 and 316 = LCM of 316 and 315
Related Least Common Multiples of 315
Related Least Common Multiples of 316
Frequently Asked Questions on LCM of 315 and 316
1. What is the LCM of 315 and 316?
Answer: LCM of 315 and 316 is 99540.
2. What are the Factors of 315?
Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.
3. What are the Factors of 316?
Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.
4. How to Find the LCM of 315 and 316?
Answer:
Least Common Multiple of 315 and 316 = 99540
Step 1: Find the prime factorization of 315
315 = 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 316
316 = 2 x 2 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99540 = 2 x 2 x 3 x 3 x 5 x 7 x 79
Step 4: Therefore, the least common multiple of 315 and 316 is 99540.