Least Common Multiple of 4929 and 4934
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 4934 the smallest integer that is 24319686 that is divisible by both numbers.
Least Common Multiple (LCM) of 4929 and 4934 is 24319686.
LCM(4929,4934) = 24319686
LCM of 4929 and 4934
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4929 and 4934 by Prime method
- Least Common Multiple of 4929 and 4934 with GCF Formula
LCM of 4929 and 4934 is 24319686
Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4934. First we will calculate the prime factors of 4929 and 4934.
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 4934
| 2 | 4934 |
| 2467 | 2467 |
| 1 |
Prime factors of 4934 are 2,2467. Prime factorization of 4934 in exponential form is:
4934 = 21×24671
Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4934.
LCM(4929,4934) = 21×31×311×531×24671
LCM(4929,4934) = 24319686
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 4934
List of positive integer factors of 4934 that divides 4934 without a remainder.
1, 2, 2467, 4934
Least Common Multiple of 4929 and 4934 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 4934, than apply into the LCM equation.
GCF(4929,4934) = 1
LCM(4929,4934) = ( 4929 × 4934) / 1
LCM(4929,4934) = 24319686 / 1
LCM(4929,4934) = 24319686
Properties of LCM 4929 and 4934
(i) The LCM of 4934 and 4929 is associative
LCM of 4929 and 4934 = LCM of 4934 and 4929
Related Least Common Multiples of 4929
Related Least Common Multiples of 4934
Frequently Asked Questions on LCM of 4929 and 4934
1. What is the LCM of 4929 and 4934?
Answer: LCM of 4929 and 4934 is 24319686.
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 4934?
Answer: Factors of 4934 are 1, 2, 2467, 4934. There are 4 integers that are factors of 4934. The greatest factor of 4934 is 4934.
4. How to Find the LCM of 4929 and 4934?
Answer:
Least Common Multiple of 4929 and 4934 = 24319686
Step 1: Find the prime factorization of 4929
4929 = 3 x 31 x 53
Step 2: Find the prime factorization of 4934
4934 = 2 x 2467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24319686 = 2 x 3 x 31 x 53 x 2467
Step 4: Therefore, the least common multiple of 4929 and 4934 is 24319686.