Least Common Multiple of 2925 and 2929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2925 and 2929 the smallest integer that is 8567325 that is divisible by both numbers.
Least Common Multiple (LCM) of 2925 and 2929 is 8567325.
LCM(2925,2929) = 8567325
LCM of 2925 and 2929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2925 and 2929 by Prime method
- Least Common Multiple of 2925 and 2929 with GCF Formula
LCM of 2925 and 2929 is 8567325
Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2929. First we will calculate the prime factors of 2925 and 2929.
Prime Factorization of 2925
| 3 | 2925 |
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 2925 are 3, 5,13. Prime factorization of 2925 in exponential form is:
2925 = 32×52×131
Prime Factorization of 2929
| 29 | 2929 |
| 101 | 101 |
| 1 |
Prime factors of 2929 are 29,101. Prime factorization of 2929 in exponential form is:
2929 = 291×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2929.
LCM(2925,2929) = 32×52×131×291×1011
LCM(2925,2929) = 8567325
Factors of 2925
List of positive integer factors of 2925 that divides 2925 without a remainder.
1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
Factors of 2929
List of positive integer factors of 2929 that divides 2929 without a remainder.
1, 29, 101, 2929
Least Common Multiple of 2925 and 2929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2925 and 2929, than apply into the LCM equation.
GCF(2925,2929) = 1
LCM(2925,2929) = ( 2925 × 2929) / 1
LCM(2925,2929) = 8567325 / 1
LCM(2925,2929) = 8567325
Properties of LCM 2925 and 2929
(i) The LCM of 2929 and 2925 is associative
LCM of 2925 and 2929 = LCM of 2929 and 2925
Related Least Common Multiples of 2925
Related Least Common Multiples of 2929
Frequently Asked Questions on LCM of 2925 and 2929
1. What is the LCM of 2925 and 2929?
Answer: LCM of 2925 and 2929 is 8567325.
2. What are the Factors of 2925?
Answer: Factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925. There are 18 integers that are factors of 2925. The greatest factor of 2925 is 2925.
3. What are the Factors of 2929?
Answer: Factors of 2929 are 1, 29, 101, 2929. There are 4 integers that are factors of 2929. The greatest factor of 2929 is 2929.
4. How to Find the LCM of 2925 and 2929?
Answer:
Least Common Multiple of 2925 and 2929 = 8567325
Step 1: Find the prime factorization of 2925
2925 = 3 x 3 x 5 x 5 x 13
Step 2: Find the prime factorization of 2929
2929 = 29 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8567325 = 3 x 3 x 5 x 5 x 13 x 29 x 101
Step 4: Therefore, the least common multiple of 2925 and 2929 is 8567325.