Least Common Multiple of 3939 and 3943
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3939 and 3943 the smallest integer that is 15531477 that is divisible by both numbers.
Least Common Multiple (LCM) of 3939 and 3943 is 15531477.
LCM(3939,3943) = 15531477
LCM of 3939 and 3943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3939 and 3943 by Prime method
- Least Common Multiple of 3939 and 3943 with GCF Formula
LCM of 3939 and 3943 is 15531477
Least common multiple can be found by multiplying the highest exponent prime factors of 3939 and 3943. First we will calculate the prime factors of 3939 and 3943.
Prime Factorization of 3939
| 3 | 3939 |
| 13 | 1313 |
| 101 | 101 |
| 1 |
Prime factors of 3939 are 3, 13,101. Prime factorization of 3939 in exponential form is:
3939 = 31×131×1011
Prime Factorization of 3943
| 3943 | 3943 |
| 1 |
Prime factors of 3943 are 3943. Prime factorization of 3943 in exponential form is:
3943 = 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 3939 and 3943.
LCM(3939,3943) = 31×131×1011×39431
LCM(3939,3943) = 15531477
Factors of 3939
List of positive integer factors of 3939 that divides 3939 without a remainder.
1, 3, 13, 39, 101, 303, 1313, 3939
Factors of 3943
List of positive integer factors of 3943 that divides 3943 without a remainder.
1, 3943
Least Common Multiple of 3939 and 3943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3939 and 3943, than apply into the LCM equation.
GCF(3939,3943) = 1
LCM(3939,3943) = ( 3939 × 3943) / 1
LCM(3939,3943) = 15531477 / 1
LCM(3939,3943) = 15531477
Properties of LCM 3939 and 3943
(i) The LCM of 3943 and 3939 is associative
LCM of 3939 and 3943 = LCM of 3943 and 3939
Related Least Common Multiples of 3939
Related Least Common Multiples of 3943
Frequently Asked Questions on LCM of 3939 and 3943
1. What is the LCM of 3939 and 3943?
Answer: LCM of 3939 and 3943 is 15531477.
2. What are the Factors of 3939?
Answer: Factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939. There are 8 integers that are factors of 3939. The greatest factor of 3939 is 3939.
3. What are the Factors of 3943?
Answer: Factors of 3943 are 1, 3943. There are 2 integers that are factors of 3943. The greatest factor of 3943 is 3943.
4. How to Find the LCM of 3939 and 3943?
Answer:
Least Common Multiple of 3939 and 3943 = 15531477
Step 1: Find the prime factorization of 3939
3939 = 3 x 13 x 101
Step 2: Find the prime factorization of 3943
3943 = 3943
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15531477 = 3 x 13 x 101 x 3943
Step 4: Therefore, the least common multiple of 3939 and 3943 is 15531477.