Least Common Multiple of 4929 and 4935
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4929 and 4935 the smallest integer that is 8108205 that is divisible by both numbers.
Least Common Multiple (LCM) of 4929 and 4935 is 8108205.
LCM(4929,4935) = 8108205
LCM of 4929 and 4935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4929 and 4935 by Prime method
- Least Common Multiple of 4929 and 4935 with GCF Formula
LCM of 4929 and 4935 is 8108205
Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4935. First we will calculate the prime factors of 4929 and 4935.
Prime Factorization of 4929
| 3 | 4929 |
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 4929 are 3, 31,53. Prime factorization of 4929 in exponential form is:
4929 = 31×311×531
Prime Factorization of 4935
| 3 | 4935 |
| 5 | 1645 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 4935 are 3, 5, 7,47. Prime factorization of 4935 in exponential form is:
4935 = 31×51×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4935.
LCM(4929,4935) = 31×51×71×311×471×531
LCM(4929,4935) = 8108205
Factors of 4929
List of positive integer factors of 4929 that divides 4929 without a remainder.
1, 3, 31, 53, 93, 159, 1643, 4929
Factors of 4935
List of positive integer factors of 4935 that divides 4935 without a remainder.
1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
Least Common Multiple of 4929 and 4935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4935, than apply into the LCM equation.
GCF(4929,4935) = 3
LCM(4929,4935) = ( 4929 × 4935) / 3
LCM(4929,4935) = 24324615 / 3
LCM(4929,4935) = 8108205
Properties of LCM 4929 and 4935
(i) The LCM of 4935 and 4929 is associative
LCM of 4929 and 4935 = LCM of 4935 and 4929
Related Least Common Multiples of 4929
Related Least Common Multiples of 4935
Frequently Asked Questions on LCM of 4929 and 4935
1. What is the LCM of 4929 and 4935?
Answer: LCM of 4929 and 4935 is 8108205.
2. What are the Factors of 4929?
Answer: Factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929. There are 8 integers that are factors of 4929. The greatest factor of 4929 is 4929.
3. What are the Factors of 4935?
Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.
4. How to Find the LCM of 4929 and 4935?
Answer:
Least Common Multiple of 4929 and 4935 = 8108205
Step 1: Find the prime factorization of 4929
4929 = 3 x 31 x 53
Step 2: Find the prime factorization of 4935
4935 = 3 x 5 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8108205 = 3 x 5 x 7 x 31 x 47 x 53
Step 4: Therefore, the least common multiple of 4929 and 4935 is 8108205.