Least Common Multiple of 3939 and 3946
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 3946 the smallest integer that is 15543294 that is divisible by both numbers.
Least Common Multiple (LCM) of 3939 and 3946 is 15543294.
LCM(3939,3946) = 15543294
LCM of 3939 and 3946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3939 and 3946 by Prime method
- Least Common Multiple of 3939 and 3946 with GCF Formula
LCM of 3939 and 3946 is 15543294
Least common multiple can be found by multiplying the highest exponent prime factors of 3939 and 3946. First we will calculate the prime factors of 3939 and 3946.
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 3946
| 2 | 3946 |
| 1973 | 1973 |
| 1 |
Prime factors of 3946 are 2,1973. Prime factorization of 3946 in exponential form is:
3946 = 21×19731
Now multiplying the highest exponent prime factors to calculate the LCM of 3939 and 3946.
LCM(3939,3946) = 21×31×131×1011×19731
LCM(3939,3946) = 15543294
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 3946
List of positive integer factors of 3946 that divides 3946 without a remainder.
1, 2, 1973, 3946
Least Common Multiple of 3939 and 3946 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 3946, than apply into the LCM equation.
GCF(3939,3946) = 1
LCM(3939,3946) = ( 3939 × 3946) / 1
LCM(3939,3946) = 15543294 / 1
LCM(3939,3946) = 15543294
Properties of LCM 3939 and 3946
(i) The LCM of 3946 and 3939 is associative
LCM of 3939 and 3946 = LCM of 3946 and 3939
Related Least Common Multiples of 3939
Related Least Common Multiples of 3946
Frequently Asked Questions on LCM of 3939 and 3946
1. What is the LCM of 3939 and 3946?
Answer: LCM of 3939 and 3946 is 15543294.
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 3946?
Answer: Factors of 3946 are 1, 2, 1973, 3946. There are 4 integers that are factors of 3946. The greatest factor of 3946 is 3946.
4. How to Find the LCM of 3939 and 3946?
Answer:
Least Common Multiple of 3939 and 3946 = 15543294
Step 1: Find the prime factorization of 3939
3939 = 3 x 13 x 101
Step 2: Find the prime factorization of 3946
3946 = 2 x 1973
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15543294 = 2 x 3 x 13 x 101 x 1973
Step 4: Therefore, the least common multiple of 3939 and 3946 is 15543294.