Least Common Multiple of 7941 and 7946
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7941 and 7946 the smallest integer that is 63099186 that is divisible by both numbers.
Least Common Multiple (LCM) of 7941 and 7946 is 63099186.
LCM(7941,7946) = 63099186
LCM of 7941 and 7946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7941 and 7946 by Prime method
- Least Common Multiple of 7941 and 7946 with GCF Formula
LCM of 7941 and 7946 is 63099186
Least common multiple can be found by multiplying the highest exponent prime factors of 7941 and 7946. First we will calculate the prime factors of 7941 and 7946.
Prime Factorization of 7941
| 3 | 7941 |
| 2647 | 2647 |
| 1 |
Prime factors of 7941 are 3,2647. Prime factorization of 7941 in exponential form is:
7941 = 31×26471
Prime Factorization of 7946
| 2 | 7946 |
| 29 | 3973 |
| 137 | 137 |
| 1 |
Prime factors of 7946 are 2, 29,137. Prime factorization of 7946 in exponential form is:
7946 = 21×291×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 7941 and 7946.
LCM(7941,7946) = 21×31×291×1371×26471
LCM(7941,7946) = 63099186
Factors of 7941
List of positive integer factors of 7941 that divides 7941 without a remainder.
1, 3, 2647, 7941
Factors of 7946
List of positive integer factors of 7946 that divides 7946 without a remainder.
1, 2, 29, 58, 137, 274, 3973, 7946
Least Common Multiple of 7941 and 7946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7941 and 7946, than apply into the LCM equation.
GCF(7941,7946) = 1
LCM(7941,7946) = ( 7941 × 7946) / 1
LCM(7941,7946) = 63099186 / 1
LCM(7941,7946) = 63099186
Properties of LCM 7941 and 7946
(i) The LCM of 7946 and 7941 is associative
LCM of 7941 and 7946 = LCM of 7946 and 7941
Related Least Common Multiples of 7941
Related Least Common Multiples of 7946
Frequently Asked Questions on LCM of 7941 and 7946
1. What is the LCM of 7941 and 7946?
Answer: LCM of 7941 and 7946 is 63099186.
2. What are the Factors of 7941?
Answer: Factors of 7941 are 1, 3, 2647, 7941. There are 4 integers that are factors of 7941. The greatest factor of 7941 is 7941.
3. What are the Factors of 7946?
Answer: Factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946. There are 8 integers that are factors of 7946. The greatest factor of 7946 is 7946.
4. How to Find the LCM of 7941 and 7946?
Answer:
Least Common Multiple of 7941 and 7946 = 63099186
Step 1: Find the prime factorization of 7941
7941 = 3 x 2647
Step 2: Find the prime factorization of 7946
7946 = 2 x 29 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63099186 = 2 x 3 x 29 x 137 x 2647
Step 4: Therefore, the least common multiple of 7941 and 7946 is 63099186.