Least Common Multiple of 3933 and 3941
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3933 and 3941 the smallest integer that is 15499953 that is divisible by both numbers.
Least Common Multiple (LCM) of 3933 and 3941 is 15499953.
LCM(3933,3941) = 15499953
LCM of 3933 and 3941
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3933 and 3941 by Prime method
- Least Common Multiple of 3933 and 3941 with GCF Formula
LCM of 3933 and 3941 is 15499953
Least common multiple can be found by multiplying the highest exponent prime factors of 3933 and 3941. First we will calculate the prime factors of 3933 and 3941.
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
Prime Factorization of 3941
| 7 | 3941 |
| 563 | 563 |
| 1 |
Prime factors of 3941 are 7,563. Prime factorization of 3941 in exponential form is:
3941 = 71×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 3933 and 3941.
LCM(3933,3941) = 32×71×191×231×5631
LCM(3933,3941) = 15499953
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
Factors of 3941
List of positive integer factors of 3941 that divides 3941 without a remainder.
1, 7, 563, 3941
Least Common Multiple of 3933 and 3941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3933 and 3941, than apply into the LCM equation.
GCF(3933,3941) = 1
LCM(3933,3941) = ( 3933 × 3941) / 1
LCM(3933,3941) = 15499953 / 1
LCM(3933,3941) = 15499953
Properties of LCM 3933 and 3941
(i) The LCM of 3941 and 3933 is associative
LCM of 3933 and 3941 = LCM of 3941 and 3933
Related Least Common Multiples of 3933
Related Least Common Multiples of 3941
Frequently Asked Questions on LCM of 3933 and 3941
1. What is the LCM of 3933 and 3941?
Answer: LCM of 3933 and 3941 is 15499953.
2. 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.
3. What are the Factors of 3941?
Answer: Factors of 3941 are 1, 7, 563, 3941. There are 4 integers that are factors of 3941. The greatest factor of 3941 is 3941.
4. How to Find the LCM of 3933 and 3941?
Answer:
Least Common Multiple of 3933 and 3941 = 15499953
Step 1: Find the prime factorization of 3933
3933 = 3 x 3 x 19 x 23
Step 2: Find the prime factorization of 3941
3941 = 7 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15499953 = 3 x 3 x 7 x 19 x 23 x 563
Step 4: Therefore, the least common multiple of 3933 and 3941 is 15499953.