Least Common Multiple of 6924 and 6929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6924 and 6929 the smallest integer that is 47976396 that is divisible by both numbers.
Least Common Multiple (LCM) of 6924 and 6929 is 47976396.
LCM(6924,6929) = 47976396
LCM of 6924 and 6929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6924 and 6929 by Prime method
- Least Common Multiple of 6924 and 6929 with GCF Formula
LCM of 6924 and 6929 is 47976396
Least common multiple can be found by multiplying the highest exponent prime factors of 6924 and 6929. First we will calculate the prime factors of 6924 and 6929.
Prime Factorization of 6924
| 2 | 6924 |
| 2 | 3462 |
| 3 | 1731 |
| 577 | 577 |
| 1 |
Prime factors of 6924 are 2, 3,577. Prime factorization of 6924 in exponential form is:
6924 = 22×31×5771
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6924 and 6929.
LCM(6924,6929) = 22×31×132×411×5771
LCM(6924,6929) = 47976396
Factors of 6924
List of positive integer factors of 6924 that divides 6924 without a remainder.
1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1, 13, 41, 169, 533, 6929
Least Common Multiple of 6924 and 6929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6924 and 6929, than apply into the LCM equation.
GCF(6924,6929) = 1
LCM(6924,6929) = ( 6924 × 6929) / 1
LCM(6924,6929) = 47976396 / 1
LCM(6924,6929) = 47976396
Properties of LCM 6924 and 6929
(i) The LCM of 6929 and 6924 is associative
LCM of 6924 and 6929 = LCM of 6929 and 6924
Related Least Common Multiples of 6924
Related Least Common Multiples of 6929
Frequently Asked Questions on LCM of 6924 and 6929
1. What is the LCM of 6924 and 6929?
Answer: LCM of 6924 and 6929 is 47976396.
2. What are the Factors of 6924?
Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.
3. 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.
4. How to Find the LCM of 6924 and 6929?
Answer:
Least Common Multiple of 6924 and 6929 = 47976396
Step 1: Find the prime factorization of 6924
6924 = 2 x 2 x 3 x 577
Step 2: Find the prime factorization of 6929
6929 = 13 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47976396 = 2 x 2 x 3 x 13 x 13 x 41 x 577
Step 4: Therefore, the least common multiple of 6924 and 6929 is 47976396.