Least Common Multiple of 8961 and 8966
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8961 and 8966 the smallest integer that is 80344326 that is divisible by both numbers.
Least Common Multiple (LCM) of 8961 and 8966 is 80344326.
LCM(8961,8966) = 80344326
LCM of 8961 and 8966
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8961 and 8966 by Prime method
- Least Common Multiple of 8961 and 8966 with GCF Formula
LCM of 8961 and 8966 is 80344326
Least common multiple can be found by multiplying the highest exponent prime factors of 8961 and 8966. First we will calculate the prime factors of 8961 and 8966.
Prime Factorization of 8961
| 3 | 8961 |
| 29 | 2987 |
| 103 | 103 |
| 1 |
Prime factors of 8961 are 3, 29,103. Prime factorization of 8961 in exponential form is:
8961 = 31×291×1031
Prime Factorization of 8966
| 2 | 8966 |
| 4483 | 4483 |
| 1 |
Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:
8966 = 21×44831
Now multiplying the highest exponent prime factors to calculate the LCM of 8961 and 8966.
LCM(8961,8966) = 21×31×291×1031×44831
LCM(8961,8966) = 80344326
Factors of 8961
List of positive integer factors of 8961 that divides 8961 without a remainder.
1, 3, 29, 87, 103, 309, 2987, 8961
Factors of 8966
List of positive integer factors of 8966 that divides 8966 without a remainder.
1, 2, 4483, 8966
Least Common Multiple of 8961 and 8966 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8961 and 8966, than apply into the LCM equation.
GCF(8961,8966) = 1
LCM(8961,8966) = ( 8961 × 8966) / 1
LCM(8961,8966) = 80344326 / 1
LCM(8961,8966) = 80344326
Properties of LCM 8961 and 8966
(i) The LCM of 8966 and 8961 is associative
LCM of 8961 and 8966 = LCM of 8966 and 8961
Related Least Common Multiples of 8961
Related Least Common Multiples of 8966
Frequently Asked Questions on LCM of 8961 and 8966
1. What is the LCM of 8961 and 8966?
Answer: LCM of 8961 and 8966 is 80344326.
2. What are the Factors of 8961?
Answer: Factors of 8961 are 1, 3, 29, 87, 103, 309, 2987, 8961. There are 8 integers that are factors of 8961. The greatest factor of 8961 is 8961.
3. What are the Factors of 8966?
Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.
4. How to Find the LCM of 8961 and 8966?
Answer:
Least Common Multiple of 8961 and 8966 = 80344326
Step 1: Find the prime factorization of 8961
8961 = 3 x 29 x 103
Step 2: Find the prime factorization of 8966
8966 = 2 x 4483
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80344326 = 2 x 3 x 29 x 103 x 4483
Step 4: Therefore, the least common multiple of 8961 and 8966 is 80344326.