Least Common Multiple of 3922 and 3929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3922 and 3929 the smallest integer that is 15409538 that is divisible by both numbers.
Least Common Multiple (LCM) of 3922 and 3929 is 15409538.
LCM(3922,3929) = 15409538
LCM of 3922 and 3929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3922 and 3929 by Prime method
- Least Common Multiple of 3922 and 3929 with GCF Formula
LCM of 3922 and 3929 is 15409538
Least common multiple can be found by multiplying the highest exponent prime factors of 3922 and 3929. First we will calculate the prime factors of 3922 and 3929.
Prime Factorization of 3922
| 2 | 3922 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 3922 are 2, 37,53. Prime factorization of 3922 in exponential form is:
3922 = 21×371×531
Prime Factorization of 3929
| 3929 | 3929 |
| 1 |
Prime factors of 3929 are 3929. Prime factorization of 3929 in exponential form is:
3929 = 39291
Now multiplying the highest exponent prime factors to calculate the LCM of 3922 and 3929.
LCM(3922,3929) = 21×371×531×39291
LCM(3922,3929) = 15409538
Factors of 3922
List of positive integer factors of 3922 that divides 3922 without a remainder.
1, 2, 37, 53, 74, 106, 1961, 3922
Factors of 3929
List of positive integer factors of 3929 that divides 3929 without a remainder.
1, 3929
Least Common Multiple of 3922 and 3929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3922 and 3929, than apply into the LCM equation.
GCF(3922,3929) = 1
LCM(3922,3929) = ( 3922 × 3929) / 1
LCM(3922,3929) = 15409538 / 1
LCM(3922,3929) = 15409538
Properties of LCM 3922 and 3929
(i) The LCM of 3929 and 3922 is associative
LCM of 3922 and 3929 = LCM of 3929 and 3922
Related Least Common Multiples of 3922
Related Least Common Multiples of 3929
Frequently Asked Questions on LCM of 3922 and 3929
1. What is the LCM of 3922 and 3929?
Answer: LCM of 3922 and 3929 is 15409538.
2. What are the Factors of 3922?
Answer: Factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922. There are 8 integers that are factors of 3922. The greatest factor of 3922 is 3922.
3. What are the Factors of 3929?
Answer: Factors of 3929 are 1, 3929. There are 2 integers that are factors of 3929. The greatest factor of 3929 is 3929.
4. How to Find the LCM of 3922 and 3929?
Answer:
Least Common Multiple of 3922 and 3929 = 15409538
Step 1: Find the prime factorization of 3922
3922 = 2 x 37 x 53
Step 2: Find the prime factorization of 3929
3929 = 3929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15409538 = 2 x 37 x 53 x 3929
Step 4: Therefore, the least common multiple of 3922 and 3929 is 15409538.