Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3967 and 3975 the smallest integer that is 15768825 that is divisible by both numbers.
Least Common Multiple (LCM) of 3967 and 3975 is 15768825.
LCM(3967,3975) = 15768825
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 3967 and 3975. First we will calculate the prime factors of 3967 and 3975.
Prime Factorization of 3967
3967 | 3967 |
1 |
Prime factors of 3967 are 3967. Prime factorization of 3967 in exponential form is:
3967 = 39671
Prime Factorization of 3975
3 | 3975 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 3975 are 3, 5,53. Prime factorization of 3975 in exponential form is:
3975 = 31×52×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3967 and 3975.
LCM(3967,3975) = 31×52×531×39671
LCM(3967,3975) = 15768825
Factors of 3967
List of positive integer factors of 3967 that divides 3967 without a remainder.
1, 3967
Factors of 3975
List of positive integer factors of 3975 that divides 3975 without a remainder.
1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3967 and 3975, than apply into the LCM equation.
GCF(3967,3975) = 1
LCM(3967,3975) = ( 3967 × 3975) / 1
LCM(3967,3975) = 15768825 / 1
LCM(3967,3975) = 15768825
(i) The LCM of 3975 and 3967 is associative
LCM of 3967 and 3975 = LCM of 3975 and 3967
1. What is the LCM of 3967 and 3975?
Answer: LCM of 3967 and 3975 is 15768825.
2. What are the Factors of 3967?
Answer: Factors of 3967 are 1, 3967. There are 2 integers that are factors of 3967. The greatest factor of 3967 is 3967.
3. What are the Factors of 3975?
Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.
4. How to Find the LCM of 3967 and 3975?
Answer:
Least Common Multiple of 3967 and 3975 = 15768825
Step 1: Find the prime factorization of 3967
3967 = 3967
Step 2: Find the prime factorization of 3975
3975 = 3 x 5 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15768825 = 3 x 5 x 5 x 53 x 3967
Step 4: Therefore, the least common multiple of 3967 and 3975 is 15768825.