Least Common Multiple of 6941 and 6946
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6941 and 6946 the smallest integer that is 48212186 that is divisible by both numbers.
Least Common Multiple (LCM) of 6941 and 6946 is 48212186.
LCM(6941,6946) = 48212186
LCM of 6941 and 6946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6941 and 6946 by Prime method
- Least Common Multiple of 6941 and 6946 with GCF Formula
LCM of 6941 and 6946 is 48212186
Least common multiple can be found by multiplying the highest exponent prime factors of 6941 and 6946. First we will calculate the prime factors of 6941 and 6946.
Prime Factorization of 6941
| 11 | 6941 |
| 631 | 631 |
| 1 |
Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:
6941 = 111×6311
Prime Factorization of 6946
| 2 | 6946 |
| 23 | 3473 |
| 151 | 151 |
| 1 |
Prime factors of 6946 are 2, 23,151. Prime factorization of 6946 in exponential form is:
6946 = 21×231×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 6941 and 6946.
LCM(6941,6946) = 21×111×231×1511×6311
LCM(6941,6946) = 48212186
Factors of 6941
List of positive integer factors of 6941 that divides 6941 without a remainder.
1, 11, 631, 6941
Factors of 6946
List of positive integer factors of 6946 that divides 6946 without a remainder.
1, 2, 23, 46, 151, 302, 3473, 6946
Least Common Multiple of 6941 and 6946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6941 and 6946, than apply into the LCM equation.
GCF(6941,6946) = 1
LCM(6941,6946) = ( 6941 × 6946) / 1
LCM(6941,6946) = 48212186 / 1
LCM(6941,6946) = 48212186
Properties of LCM 6941 and 6946
(i) The LCM of 6946 and 6941 is associative
LCM of 6941 and 6946 = LCM of 6946 and 6941
Related Least Common Multiples of 6941
Related Least Common Multiples of 6946
Frequently Asked Questions on LCM of 6941 and 6946
1. What is the LCM of 6941 and 6946?
Answer: LCM of 6941 and 6946 is 48212186.
2. What are the Factors of 6941?
Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.
3. What are the Factors of 6946?
Answer: Factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946. There are 8 integers that are factors of 6946. The greatest factor of 6946 is 6946.
4. How to Find the LCM of 6941 and 6946?
Answer:
Least Common Multiple of 6941 and 6946 = 48212186
Step 1: Find the prime factorization of 6941
6941 = 11 x 631
Step 2: Find the prime factorization of 6946
6946 = 2 x 23 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48212186 = 2 x 11 x 23 x 151 x 631
Step 4: Therefore, the least common multiple of 6941 and 6946 is 48212186.