Least Common Multiple of 8939 and 8946
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8939 and 8946 the smallest integer that is 11424042 that is divisible by both numbers.
Least Common Multiple (LCM) of 8939 and 8946 is 11424042.
LCM(8939,8946) = 11424042
LCM of 8939 and 8946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8939 and 8946 by Prime method
- Least Common Multiple of 8939 and 8946 with GCF Formula
LCM of 8939 and 8946 is 11424042
Least common multiple can be found by multiplying the highest exponent prime factors of 8939 and 8946. First we will calculate the prime factors of 8939 and 8946.
Prime Factorization of 8939
| 7 | 8939 |
| 1277 | 1277 |
| 1 |
Prime factors of 8939 are 7,1277. Prime factorization of 8939 in exponential form is:
8939 = 71×12771
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8939 and 8946.
LCM(8939,8946) = 21×32×71×711×12771
LCM(8939,8946) = 11424042
Factors of 8939
List of positive integer factors of 8939 that divides 8939 without a remainder.
1, 7, 1277, 8939
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
Least Common Multiple of 8939 and 8946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8939 and 8946, than apply into the LCM equation.
GCF(8939,8946) = 7
LCM(8939,8946) = ( 8939 × 8946) / 7
LCM(8939,8946) = 79968294 / 7
LCM(8939,8946) = 11424042
Properties of LCM 8939 and 8946
(i) The LCM of 8946 and 8939 is associative
LCM of 8939 and 8946 = LCM of 8946 and 8939
Related Least Common Multiples of 8939
Related Least Common Multiples of 8946
Frequently Asked Questions on LCM of 8939 and 8946
1. What is the LCM of 8939 and 8946?
Answer: LCM of 8939 and 8946 is 11424042.
2. What are the Factors of 8939?
Answer: Factors of 8939 are 1, 7, 1277, 8939. There are 4 integers that are factors of 8939. The greatest factor of 8939 is 8939.
3. 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.
4. How to Find the LCM of 8939 and 8946?
Answer:
Least Common Multiple of 8939 and 8946 = 11424042
Step 1: Find the prime factorization of 8939
8939 = 7 x 1277
Step 2: Find the prime factorization of 8946
8946 = 2 x 3 x 3 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11424042 = 2 x 3 x 3 x 7 x 71 x 1277
Step 4: Therefore, the least common multiple of 8939 and 8946 is 11424042.