Least Common Multiple of 3926 and 3933
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3926 and 3933 the smallest integer that is 15440958 that is divisible by both numbers.
Least Common Multiple (LCM) of 3926 and 3933 is 15440958.
LCM(3926,3933) = 15440958
LCM of 3926 and 3933
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3926 and 3933 by Prime method
- Least Common Multiple of 3926 and 3933 with GCF Formula
LCM of 3926 and 3933 is 15440958
Least common multiple can be found by multiplying the highest exponent prime factors of 3926 and 3933. First we will calculate the prime factors of 3926 and 3933.
Prime Factorization of 3926
| 2 | 3926 |
| 13 | 1963 |
| 151 | 151 |
| 1 |
Prime factors of 3926 are 2, 13,151. Prime factorization of 3926 in exponential form is:
3926 = 21×131×1511
Prime Factorization of 3933
| 3 | 3933 |
| 3 | 1311 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 3933 are 3, 19,23. Prime factorization of 3933 in exponential form is:
3933 = 32×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3926 and 3933.
LCM(3926,3933) = 21×32×131×191×231×1511
LCM(3926,3933) = 15440958
Factors of 3926
List of positive integer factors of 3926 that divides 3926 without a remainder.
1, 2, 13, 26, 151, 302, 1963, 3926
Factors of 3933
List of positive integer factors of 3933 that divides 3933 without a remainder.
1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933
Least Common Multiple of 3926 and 3933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3926 and 3933, than apply into the LCM equation.
GCF(3926,3933) = 1
LCM(3926,3933) = ( 3926 × 3933) / 1
LCM(3926,3933) = 15440958 / 1
LCM(3926,3933) = 15440958
Properties of LCM 3926 and 3933
(i) The LCM of 3933 and 3926 is associative
LCM of 3926 and 3933 = LCM of 3933 and 3926
Related Least Common Multiples of 3926
Related Least Common Multiples of 3933
Frequently Asked Questions on LCM of 3926 and 3933
1. What is the LCM of 3926 and 3933?
Answer: LCM of 3926 and 3933 is 15440958.
2. What are the Factors of 3926?
Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.
3. What are the Factors of 3933?
Answer: Factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933. There are 12 integers that are factors of 3933. The greatest factor of 3933 is 3933.
4. How to Find the LCM of 3926 and 3933?
Answer:
Least Common Multiple of 3926 and 3933 = 15440958
Step 1: Find the prime factorization of 3926
3926 = 2 x 13 x 151
Step 2: Find the prime factorization of 3933
3933 = 3 x 3 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15440958 = 2 x 3 x 3 x 13 x 19 x 23 x 151
Step 4: Therefore, the least common multiple of 3926 and 3933 is 15440958.