Least Common Multiple of 8694 and 8701
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8694 and 8701 the smallest integer that is 10806642 that is divisible by both numbers.
Least Common Multiple (LCM) of 8694 and 8701 is 10806642.
LCM(8694,8701) = 10806642
LCM of 8694 and 8701
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8694 and 8701 by Prime method
- Least Common Multiple of 8694 and 8701 with GCF Formula
LCM of 8694 and 8701 is 10806642
Least common multiple can be found by multiplying the highest exponent prime factors of 8694 and 8701. First we will calculate the prime factors of 8694 and 8701.
Prime Factorization of 8694
| 2 | 8694 |
| 3 | 4347 |
| 3 | 1449 |
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 8694 are 2, 3, 7,23. Prime factorization of 8694 in exponential form is:
8694 = 21×33×71×231
Prime Factorization of 8701
| 7 | 8701 |
| 11 | 1243 |
| 113 | 113 |
| 1 |
Prime factors of 8701 are 7, 11,113. Prime factorization of 8701 in exponential form is:
8701 = 71×111×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 8694 and 8701.
LCM(8694,8701) = 21×33×71×111×231×1131
LCM(8694,8701) = 10806642
Factors of 8694
List of positive integer factors of 8694 that divides 8694 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
Factors of 8701
List of positive integer factors of 8701 that divides 8701 without a remainder.
1, 7, 11, 77, 113, 791, 1243, 8701
Least Common Multiple of 8694 and 8701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8694 and 8701, than apply into the LCM equation.
GCF(8694,8701) = 7
LCM(8694,8701) = ( 8694 × 8701) / 7
LCM(8694,8701) = 75646494 / 7
LCM(8694,8701) = 10806642
Properties of LCM 8694 and 8701
(i) The LCM of 8701 and 8694 is associative
LCM of 8694 and 8701 = LCM of 8701 and 8694
Related Least Common Multiples of 8694
Related Least Common Multiples of 8701
Frequently Asked Questions on LCM of 8694 and 8701
1. What is the LCM of 8694 and 8701?
Answer: LCM of 8694 and 8701 is 10806642.
2. What are the Factors of 8694?
Answer: Factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694. There are 32 integers that are factors of 8694. The greatest factor of 8694 is 8694.
3. What are the Factors of 8701?
Answer: Factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701. There are 8 integers that are factors of 8701. The greatest factor of 8701 is 8701.
4. How to Find the LCM of 8694 and 8701?
Answer:
Least Common Multiple of 8694 and 8701 = 10806642
Step 1: Find the prime factorization of 8694
8694 = 2 x 3 x 3 x 3 x 7 x 23
Step 2: Find the prime factorization of 8701
8701 = 7 x 11 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10806642 = 2 x 3 x 3 x 3 x 7 x 11 x 23 x 113
Step 4: Therefore, the least common multiple of 8694 and 8701 is 10806642.