Least Common Multiple of 6935 and 6937
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 6937 the smallest integer that is 48108095 that is divisible by both numbers.
Least Common Multiple (LCM) of 6935 and 6937 is 48108095.
LCM(6935,6937) = 48108095
LCM of 6935 and 6937
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6935 and 6937 by Prime method
- Least Common Multiple of 6935 and 6937 with GCF Formula
LCM of 6935 and 6937 is 48108095
Least common multiple can be found by multiplying the highest exponent prime factors of 6935 and 6937. First we will calculate the prime factors of 6935 and 6937.
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 6937
| 7 | 6937 |
| 991 | 991 |
| 1 |
Prime factors of 6937 are 7,991. Prime factorization of 6937 in exponential form is:
6937 = 71×9911
Now multiplying the highest exponent prime factors to calculate the LCM of 6935 and 6937.
LCM(6935,6937) = 51×71×191×731×9911
LCM(6935,6937) = 48108095
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 6937
List of positive integer factors of 6937 that divides 6937 without a remainder.
1, 7, 991, 6937
Least Common Multiple of 6935 and 6937 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 6937, than apply into the LCM equation.
GCF(6935,6937) = 1
LCM(6935,6937) = ( 6935 × 6937) / 1
LCM(6935,6937) = 48108095 / 1
LCM(6935,6937) = 48108095
Properties of LCM 6935 and 6937
(i) The LCM of 6937 and 6935 is associative
LCM of 6935 and 6937 = LCM of 6937 and 6935
Related Least Common Multiples of 6935
Related Least Common Multiples of 6937
Frequently Asked Questions on LCM of 6935 and 6937
1. What is the LCM of 6935 and 6937?
Answer: LCM of 6935 and 6937 is 48108095.
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 6937?
Answer: Factors of 6937 are 1, 7, 991, 6937. There are 4 integers that are factors of 6937. The greatest factor of 6937 is 6937.
4. How to Find the LCM of 6935 and 6937?
Answer:
Least Common Multiple of 6935 and 6937 = 48108095
Step 1: Find the prime factorization of 6935
6935 = 5 x 19 x 73
Step 2: Find the prime factorization of 6937
6937 = 7 x 991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48108095 = 5 x 7 x 19 x 73 x 991
Step 4: Therefore, the least common multiple of 6935 and 6937 is 48108095.