Least Common Multiple of 8702 and 8707
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8702 and 8707 the smallest integer that is 75768314 that is divisible by both numbers.
Least Common Multiple (LCM) of 8702 and 8707 is 75768314.
LCM(8702,8707) = 75768314
LCM of 8702 and 8707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8702 and 8707 by Prime method
- Least Common Multiple of 8702 and 8707 with GCF Formula
LCM of 8702 and 8707 is 75768314
Least common multiple can be found by multiplying the highest exponent prime factors of 8702 and 8707. First we will calculate the prime factors of 8702 and 8707.
Prime Factorization of 8702
| 2 | 8702 |
| 19 | 4351 |
| 229 | 229 |
| 1 |
Prime factors of 8702 are 2, 19,229. Prime factorization of 8702 in exponential form is:
8702 = 21×191×2291
Prime Factorization of 8707
| 8707 | 8707 |
| 1 |
Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:
8707 = 87071
Now multiplying the highest exponent prime factors to calculate the LCM of 8702 and 8707.
LCM(8702,8707) = 21×191×2291×87071
LCM(8702,8707) = 75768314
Factors of 8702
List of positive integer factors of 8702 that divides 8702 without a remainder.
1, 2, 19, 38, 229, 458, 4351, 8702
Factors of 8707
List of positive integer factors of 8707 that divides 8707 without a remainder.
1, 8707
Least Common Multiple of 8702 and 8707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8702 and 8707, than apply into the LCM equation.
GCF(8702,8707) = 1
LCM(8702,8707) = ( 8702 × 8707) / 1
LCM(8702,8707) = 75768314 / 1
LCM(8702,8707) = 75768314
Properties of LCM 8702 and 8707
(i) The LCM of 8707 and 8702 is associative
LCM of 8702 and 8707 = LCM of 8707 and 8702
Related Least Common Multiples of 8702
Related Least Common Multiples of 8707
Frequently Asked Questions on LCM of 8702 and 8707
1. What is the LCM of 8702 and 8707?
Answer: LCM of 8702 and 8707 is 75768314.
2. What are the Factors of 8702?
Answer: Factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702. There are 8 integers that are factors of 8702. The greatest factor of 8702 is 8702.
3. What are the Factors of 8707?
Answer: Factors of 8707 are 1, 8707. There are 2 integers that are factors of 8707. The greatest factor of 8707 is 8707.
4. How to Find the LCM of 8702 and 8707?
Answer:
Least Common Multiple of 8702 and 8707 = 75768314
Step 1: Find the prime factorization of 8702
8702 = 2 x 19 x 229
Step 2: Find the prime factorization of 8707
8707 = 8707
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75768314 = 2 x 19 x 229 x 8707
Step 4: Therefore, the least common multiple of 8702 and 8707 is 75768314.