Least Common Multiple of 8946 and 8953
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8946 and 8953 the smallest integer that is 11441934 that is divisible by both numbers.
Least Common Multiple (LCM) of 8946 and 8953 is 11441934.
LCM(8946,8953) = 11441934
LCM of 8946 and 8953
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8946 and 8953 by Prime method
- Least Common Multiple of 8946 and 8953 with GCF Formula
LCM of 8946 and 8953 is 11441934
Least common multiple can be found by multiplying the highest exponent prime factors of 8946 and 8953. First we will calculate the prime factors of 8946 and 8953.
Prime Factorization of 8946
| 2 | 8946 |
| 3 | 4473 |
| 3 | 1491 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 8946 are 2, 3, 7,71. Prime factorization of 8946 in exponential form is:
8946 = 21×32×71×711
Prime Factorization of 8953
| 7 | 8953 |
| 1279 | 1279 |
| 1 |
Prime factors of 8953 are 7,1279. Prime factorization of 8953 in exponential form is:
8953 = 71×12791
Now multiplying the highest exponent prime factors to calculate the LCM of 8946 and 8953.
LCM(8946,8953) = 21×32×71×711×12791
LCM(8946,8953) = 11441934
Factors of 8946
List of positive integer factors of 8946 that divides 8946 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1, 7, 1279, 8953
Least Common Multiple of 8946 and 8953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8946 and 8953, than apply into the LCM equation.
GCF(8946,8953) = 7
LCM(8946,8953) = ( 8946 × 8953) / 7
LCM(8946,8953) = 80093538 / 7
LCM(8946,8953) = 11441934
Properties of LCM 8946 and 8953
(i) The LCM of 8953 and 8946 is associative
LCM of 8946 and 8953 = LCM of 8953 and 8946
Related Least Common Multiples of 8946
Related Least Common Multiples of 8953
Frequently Asked Questions on LCM of 8946 and 8953
1. What is the LCM of 8946 and 8953?
Answer: LCM of 8946 and 8953 is 11441934.
2. What are the Factors of 8946?
Answer: Factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946. There are 24 integers that are factors of 8946. The greatest factor of 8946 is 8946.
3. What are the Factors of 8953?
Answer: Factors of 8953 are 1, 7, 1279, 8953. There are 4 integers that are factors of 8953. The greatest factor of 8953 is 8953.
4. How to Find the LCM of 8946 and 8953?
Answer:
Least Common Multiple of 8946 and 8953 = 11441934
Step 1: Find the prime factorization of 8946
8946 = 2 x 3 x 3 x 7 x 71
Step 2: Find the prime factorization of 8953
8953 = 7 x 1279
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11441934 = 2 x 3 x 3 x 7 x 71 x 1279
Step 4: Therefore, the least common multiple of 8946 and 8953 is 11441934.