Least Common Multiple of 6935 and 6941
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6935 and 6941 the smallest integer that is 48135835 that is divisible by both numbers.
Least Common Multiple (LCM) of 6935 and 6941 is 48135835.
LCM(6935,6941) = 48135835
LCM of 6935 and 6941
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6935 and 6941 by Prime method
- Least Common Multiple of 6935 and 6941 with GCF Formula
LCM of 6935 and 6941 is 48135835
Least common multiple can be found by multiplying the highest exponent prime factors of 6935 and 6941. First we will calculate the prime factors of 6935 and 6941.
Prime Factorization of 6935
| 5 | 6935 |
| 19 | 1387 |
| 73 | 73 |
| 1 |
Prime factors of 6935 are 5, 19,73. Prime factorization of 6935 in exponential form is:
6935 = 51×191×731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6935 and 6941.
LCM(6935,6941) = 51×111×191×731×6311
LCM(6935,6941) = 48135835
Factors of 6935
List of positive integer factors of 6935 that divides 6935 without a remainder.
1, 5, 19, 73, 95, 365, 1387, 6935
Factors of 6941
List of positive integer factors of 6941 that divides 6941 without a remainder.
1, 11, 631, 6941
Least Common Multiple of 6935 and 6941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6935 and 6941, than apply into the LCM equation.
GCF(6935,6941) = 1
LCM(6935,6941) = ( 6935 × 6941) / 1
LCM(6935,6941) = 48135835 / 1
LCM(6935,6941) = 48135835
Properties of LCM 6935 and 6941
(i) The LCM of 6941 and 6935 is associative
LCM of 6935 and 6941 = LCM of 6941 and 6935
Related Least Common Multiples of 6935
Related Least Common Multiples of 6941
Frequently Asked Questions on LCM of 6935 and 6941
1. What is the LCM of 6935 and 6941?
Answer: LCM of 6935 and 6941 is 48135835.
2. What are the Factors of 6935?
Answer: Factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935. There are 8 integers that are factors of 6935. The greatest factor of 6935 is 6935.
3. 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.
4. How to Find the LCM of 6935 and 6941?
Answer:
Least Common Multiple of 6935 and 6941 = 48135835
Step 1: Find the prime factorization of 6935
6935 = 5 x 19 x 73
Step 2: Find the prime factorization of 6941
6941 = 11 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48135835 = 5 x 11 x 19 x 73 x 631
Step 4: Therefore, the least common multiple of 6935 and 6941 is 48135835.