Least Common Multiple of 4935 and 4939
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4935 and 4939 the smallest integer that is 24373965 that is divisible by both numbers.
Least Common Multiple (LCM) of 4935 and 4939 is 24373965.
LCM(4935,4939) = 24373965
LCM of 4935 and 4939
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4935 and 4939 by Prime method
- Least Common Multiple of 4935 and 4939 with GCF Formula
LCM of 4935 and 4939 is 24373965
Least common multiple can be found by multiplying the highest exponent prime factors of 4935 and 4939. First we will calculate the prime factors of 4935 and 4939.
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
Prime Factorization of 4939
| 11 | 4939 |
| 449 | 449 |
| 1 |
Prime factors of 4939 are 11,449. Prime factorization of 4939 in exponential form is:
4939 = 111×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 4935 and 4939.
LCM(4935,4939) = 31×51×71×111×471×4491
LCM(4935,4939) = 24373965
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
Factors of 4939
List of positive integer factors of 4939 that divides 4939 without a remainder.
1, 11, 449, 4939
Least Common Multiple of 4935 and 4939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4935 and 4939, than apply into the LCM equation.
GCF(4935,4939) = 1
LCM(4935,4939) = ( 4935 × 4939) / 1
LCM(4935,4939) = 24373965 / 1
LCM(4935,4939) = 24373965
Properties of LCM 4935 and 4939
(i) The LCM of 4939 and 4935 is associative
LCM of 4935 and 4939 = LCM of 4939 and 4935
Related Least Common Multiples of 4935
Related Least Common Multiples of 4939
Frequently Asked Questions on LCM of 4935 and 4939
1. What is the LCM of 4935 and 4939?
Answer: LCM of 4935 and 4939 is 24373965.
2. 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.
3. What are the Factors of 4939?
Answer: Factors of 4939 are 1, 11, 449, 4939. There are 4 integers that are factors of 4939. The greatest factor of 4939 is 4939.
4. How to Find the LCM of 4935 and 4939?
Answer:
Least Common Multiple of 4935 and 4939 = 24373965
Step 1: Find the prime factorization of 4935
4935 = 3 x 5 x 7 x 47
Step 2: Find the prime factorization of 4939
4939 = 11 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24373965 = 3 x 5 x 7 x 11 x 47 x 449
Step 4: Therefore, the least common multiple of 4935 and 4939 is 24373965.