Least Common Multiple of 3939 and 3947
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 3947 the smallest integer that is 15547233 that is divisible by both numbers.
Least Common Multiple (LCM) of 3939 and 3947 is 15547233.
LCM(3939,3947) = 15547233
LCM of 3939 and 3947
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3939 and 3947 by Prime method
- Least Common Multiple of 3939 and 3947 with GCF Formula
LCM of 3939 and 3947 is 15547233
Least common multiple can be found by multiplying the highest exponent prime factors of 3939 and 3947. First we will calculate the prime factors of 3939 and 3947.
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 3947
| 3947 | 3947 |
| 1 |
Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:
3947 = 39471
Now multiplying the highest exponent prime factors to calculate the LCM of 3939 and 3947.
LCM(3939,3947) = 31×131×1011×39471
LCM(3939,3947) = 15547233
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 3947
List of positive integer factors of 3947 that divides 3947 without a remainder.
1, 3947
Least Common Multiple of 3939 and 3947 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 3947, than apply into the LCM equation.
GCF(3939,3947) = 1
LCM(3939,3947) = ( 3939 × 3947) / 1
LCM(3939,3947) = 15547233 / 1
LCM(3939,3947) = 15547233
Properties of LCM 3939 and 3947
(i) The LCM of 3947 and 3939 is associative
LCM of 3939 and 3947 = LCM of 3947 and 3939
Related Least Common Multiples of 3939
Related Least Common Multiples of 3947
Frequently Asked Questions on LCM of 3939 and 3947
1. What is the LCM of 3939 and 3947?
Answer: LCM of 3939 and 3947 is 15547233.
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 3947?
Answer: Factors of 3947 are 1, 3947. There are 2 integers that are factors of 3947. The greatest factor of 3947 is 3947.
4. How to Find the LCM of 3939 and 3947?
Answer:
Least Common Multiple of 3939 and 3947 = 15547233
Step 1: Find the prime factorization of 3939
3939 = 3 x 13 x 101
Step 2: Find the prime factorization of 3947
3947 = 3947
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15547233 = 3 x 13 x 101 x 3947
Step 4: Therefore, the least common multiple of 3939 and 3947 is 15547233.