Least Common Multiple of 8759 and 8767
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8759 and 8767 the smallest integer that is 76790153 that is divisible by both numbers.
Least Common Multiple (LCM) of 8759 and 8767 is 76790153.
LCM(8759,8767) = 76790153
LCM of 8759 and 8767
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8759 and 8767 by Prime method
- Least Common Multiple of 8759 and 8767 with GCF Formula
LCM of 8759 and 8767 is 76790153
Least common multiple can be found by multiplying the highest exponent prime factors of 8759 and 8767. First we will calculate the prime factors of 8759 and 8767.
Prime Factorization of 8759
| 19 | 8759 |
| 461 | 461 |
| 1 |
Prime factors of 8759 are 19,461. Prime factorization of 8759 in exponential form is:
8759 = 191×4611
Prime Factorization of 8767
| 11 | 8767 |
| 797 | 797 |
| 1 |
Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:
8767 = 111×7971
Now multiplying the highest exponent prime factors to calculate the LCM of 8759 and 8767.
LCM(8759,8767) = 111×191×4611×7971
LCM(8759,8767) = 76790153
Factors of 8759
List of positive integer factors of 8759 that divides 8759 without a remainder.
1, 19, 461, 8759
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1, 11, 797, 8767
Least Common Multiple of 8759 and 8767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8759 and 8767, than apply into the LCM equation.
GCF(8759,8767) = 1
LCM(8759,8767) = ( 8759 × 8767) / 1
LCM(8759,8767) = 76790153 / 1
LCM(8759,8767) = 76790153
Properties of LCM 8759 and 8767
(i) The LCM of 8767 and 8759 is associative
LCM of 8759 and 8767 = LCM of 8767 and 8759
Related Least Common Multiples of 8759
Related Least Common Multiples of 8767
Frequently Asked Questions on LCM of 8759 and 8767
1. What is the LCM of 8759 and 8767?
Answer: LCM of 8759 and 8767 is 76790153.
2. What are the Factors of 8759?
Answer: Factors of 8759 are 1, 19, 461, 8759. There are 4 integers that are factors of 8759. The greatest factor of 8759 is 8759.
3. What are the Factors of 8767?
Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.
4. How to Find the LCM of 8759 and 8767?
Answer:
Least Common Multiple of 8759 and 8767 = 76790153
Step 1: Find the prime factorization of 8759
8759 = 19 x 461
Step 2: Find the prime factorization of 8767
8767 = 11 x 797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76790153 = 11 x 19 x 461 x 797
Step 4: Therefore, the least common multiple of 8759 and 8767 is 76790153.