Least Common Multiple of 6929 and 6935
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6929 and 6935 the smallest integer that is 48052615 that is divisible by both numbers.
Least Common Multiple (LCM) of 6929 and 6935 is 48052615.
LCM(6929,6935) = 48052615
LCM of 6929 and 6935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6929 and 6935 by Prime method
- Least Common Multiple of 6929 and 6935 with GCF Formula
LCM of 6929 and 6935 is 48052615
Least common multiple can be found by multiplying the highest exponent prime factors of 6929 and 6935. First we will calculate the prime factors of 6929 and 6935.
Prime Factorization of 6929
| 13 | 6929 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:
6929 = 132×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6929 and 6935.
LCM(6929,6935) = 51×132×191×411×731
LCM(6929,6935) = 48052615
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1, 13, 41, 169, 533, 6929
Factors of 6935
List of positive integer factors of 6935 that divides 6935 without a remainder.
1, 5, 19, 73, 95, 365, 1387, 6935
Least Common Multiple of 6929 and 6935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6929 and 6935, than apply into the LCM equation.
GCF(6929,6935) = 1
LCM(6929,6935) = ( 6929 × 6935) / 1
LCM(6929,6935) = 48052615 / 1
LCM(6929,6935) = 48052615
Properties of LCM 6929 and 6935
(i) The LCM of 6935 and 6929 is associative
LCM of 6929 and 6935 = LCM of 6935 and 6929
Related Least Common Multiples of 6929
Related Least Common Multiples of 6935
Frequently Asked Questions on LCM of 6929 and 6935
1. What is the LCM of 6929 and 6935?
Answer: LCM of 6929 and 6935 is 48052615.
2. What are the Factors of 6929?
Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.
3. 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.
4. How to Find the LCM of 6929 and 6935?
Answer:
Least Common Multiple of 6929 and 6935 = 48052615
Step 1: Find the prime factorization of 6929
6929 = 13 x 13 x 41
Step 2: Find the prime factorization of 6935
6935 = 5 x 19 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48052615 = 5 x 13 x 13 x 19 x 41 x 73
Step 4: Therefore, the least common multiple of 6929 and 6935 is 48052615.