Least Common Multiple of 4921 and 4929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4921 and 4929 the smallest integer that is 24255609 that is divisible by both numbers.
Least Common Multiple (LCM) of 4921 and 4929 is 24255609.
LCM(4921,4929) = 24255609
LCM of 4921 and 4929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4921 and 4929 by Prime method
- Least Common Multiple of 4921 and 4929 with GCF Formula
LCM of 4921 and 4929 is 24255609
Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4929. First we will calculate the prime factors of 4921 and 4929.
Prime Factorization of 4921
| 7 | 4921 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:
4921 = 71×191×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4929.
LCM(4921,4929) = 31×71×191×311×371×531
LCM(4921,4929) = 24255609
Factors of 4921
List of positive integer factors of 4921 that divides 4921 without a remainder.
1, 7, 19, 37, 133, 259, 703, 4921
Factors of 4929
List of positive integer factors of 4929 that divides 4929 without a remainder.
1, 3, 31, 53, 93, 159, 1643, 4929
Least Common Multiple of 4921 and 4929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4929, than apply into the LCM equation.
GCF(4921,4929) = 1
LCM(4921,4929) = ( 4921 × 4929) / 1
LCM(4921,4929) = 24255609 / 1
LCM(4921,4929) = 24255609
Properties of LCM 4921 and 4929
(i) The LCM of 4929 and 4921 is associative
LCM of 4921 and 4929 = LCM of 4929 and 4921
Related Least Common Multiples of 4921
Related Least Common Multiples of 4929
Frequently Asked Questions on LCM of 4921 and 4929
1. What is the LCM of 4921 and 4929?
Answer: LCM of 4921 and 4929 is 24255609.
2. What are the Factors of 4921?
Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.
3. 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.
4. How to Find the LCM of 4921 and 4929?
Answer:
Least Common Multiple of 4921 and 4929 = 24255609
Step 1: Find the prime factorization of 4921
4921 = 7 x 19 x 37
Step 2: Find the prime factorization of 4929
4929 = 3 x 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24255609 = 3 x 7 x 19 x 31 x 37 x 53
Step 4: Therefore, the least common multiple of 4921 and 4929 is 24255609.