Least Common Multiple of 3941 and 3949
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3941 and 3949 the smallest integer that is 15563009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3941 and 3949 is 15563009.
LCM(3941,3949) = 15563009
LCM of 3941 and 3949
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3941 and 3949 by Prime method
- Least Common Multiple of 3941 and 3949 with GCF Formula
LCM of 3941 and 3949 is 15563009
Least common multiple can be found by multiplying the highest exponent prime factors of 3941 and 3949. First we will calculate the prime factors of 3941 and 3949.
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
Prime Factorization of 3949
| 11 | 3949 |
| 359 | 359 |
| 1 |
Prime factors of 3949 are 11,359. Prime factorization of 3949 in exponential form is:
3949 = 111×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 3941 and 3949.
LCM(3941,3949) = 71×111×3591×5631
LCM(3941,3949) = 15563009
Factors of 3941
List of positive integer factors of 3941 that divides 3941 without a remainder.
1, 7, 563, 3941
Factors of 3949
List of positive integer factors of 3949 that divides 3949 without a remainder.
1, 11, 359, 3949
Least Common Multiple of 3941 and 3949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3941 and 3949, than apply into the LCM equation.
GCF(3941,3949) = 1
LCM(3941,3949) = ( 3941 × 3949) / 1
LCM(3941,3949) = 15563009 / 1
LCM(3941,3949) = 15563009
Properties of LCM 3941 and 3949
(i) The LCM of 3949 and 3941 is associative
LCM of 3941 and 3949 = LCM of 3949 and 3941
Related Least Common Multiples of 3941
Related Least Common Multiples of 3949
Frequently Asked Questions on LCM of 3941 and 3949
1. What is the LCM of 3941 and 3949?
Answer: LCM of 3941 and 3949 is 15563009.
2. 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.
3. What are the Factors of 3949?
Answer: Factors of 3949 are 1, 11, 359, 3949. There are 4 integers that are factors of 3949. The greatest factor of 3949 is 3949.
4. How to Find the LCM of 3941 and 3949?
Answer:
Least Common Multiple of 3941 and 3949 = 15563009
Step 1: Find the prime factorization of 3941
3941 = 7 x 563
Step 2: Find the prime factorization of 3949
3949 = 11 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15563009 = 7 x 11 x 359 x 563
Step 4: Therefore, the least common multiple of 3941 and 3949 is 15563009.