Least Common Multiple of 8694 and 8699
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 8699 the smallest integer that is 75629106 that is divisible by both numbers.
Least Common Multiple (LCM) of 8694 and 8699 is 75629106.
LCM(8694,8699) = 75629106
LCM of 8694 and 8699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8694 and 8699 by Prime method
- Least Common Multiple of 8694 and 8699 with GCF Formula
LCM of 8694 and 8699 is 75629106
Least common multiple can be found by multiplying the highest exponent prime factors of 8694 and 8699. First we will calculate the prime factors of 8694 and 8699.
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 8699
| 8699 | 8699 |
| 1 |
Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:
8699 = 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 8694 and 8699.
LCM(8694,8699) = 21×33×71×231×86991
LCM(8694,8699) = 75629106
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 8699
List of positive integer factors of 8699 that divides 8699 without a remainder.
1, 8699
Least Common Multiple of 8694 and 8699 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 8699, than apply into the LCM equation.
GCF(8694,8699) = 1
LCM(8694,8699) = ( 8694 × 8699) / 1
LCM(8694,8699) = 75629106 / 1
LCM(8694,8699) = 75629106
Properties of LCM 8694 and 8699
(i) The LCM of 8699 and 8694 is associative
LCM of 8694 and 8699 = LCM of 8699 and 8694
Related Least Common Multiples of 8694
Related Least Common Multiples of 8699
Frequently Asked Questions on LCM of 8694 and 8699
1. What is the LCM of 8694 and 8699?
Answer: LCM of 8694 and 8699 is 75629106.
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 8699?
Answer: Factors of 8699 are 1, 8699. There are 2 integers that are factors of 8699. The greatest factor of 8699 is 8699.
4. How to Find the LCM of 8694 and 8699?
Answer:
Least Common Multiple of 8694 and 8699 = 75629106
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 8699
8699 = 8699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75629106 = 2 x 3 x 3 x 3 x 7 x 23 x 8699
Step 4: Therefore, the least common multiple of 8694 and 8699 is 75629106.