Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3931 and 3935 the smallest integer that is 15468485 that is divisible by both numbers.
Least Common Multiple (LCM) of 3931 and 3935 is 15468485.
LCM(3931,3935) = 15468485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3935. First we will calculate the prime factors of 3931 and 3935.
Prime Factorization of 3931
3931 | 3931 |
1 |
Prime factors of 3931 are 3931. Prime factorization of 3931 in exponential form is:
3931 = 39311
Prime Factorization of 3935
5 | 3935 |
787 | 787 |
1 |
Prime factors of 3935 are 5,787. Prime factorization of 3935 in exponential form is:
3935 = 51×7871
Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3935.
LCM(3931,3935) = 51×7871×39311
LCM(3931,3935) = 15468485
Factors of 3931
List of positive integer factors of 3931 that divides 3931 without a remainder.
1, 3931
Factors of 3935
List of positive integer factors of 3935 that divides 3935 without a remainder.
1, 5, 787, 3935
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3931 and 3935, than apply into the LCM equation.
GCF(3931,3935) = 1
LCM(3931,3935) = ( 3931 × 3935) / 1
LCM(3931,3935) = 15468485 / 1
LCM(3931,3935) = 15468485
(i) The LCM of 3935 and 3931 is associative
LCM of 3931 and 3935 = LCM of 3935 and 3931
1. What is the LCM of 3931 and 3935?
Answer: LCM of 3931 and 3935 is 15468485.
2. What are the Factors of 3931?
Answer: Factors of 3931 are 1, 3931. There are 2 integers that are factors of 3931. The greatest factor of 3931 is 3931.
3. What are the Factors of 3935?
Answer: Factors of 3935 are 1, 5, 787, 3935. There are 4 integers that are factors of 3935. The greatest factor of 3935 is 3935.
4. How to Find the LCM of 3931 and 3935?
Answer:
Least Common Multiple of 3931 and 3935 = 15468485
Step 1: Find the prime factorization of 3931
3931 = 3931
Step 2: Find the prime factorization of 3935
3935 = 5 x 787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15468485 = 5 x 787 x 3931
Step 4: Therefore, the least common multiple of 3931 and 3935 is 15468485.