Least Common Multiple of 3978 and 3985
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3978 and 3985 the smallest integer that is 15852330 that is divisible by both numbers.
Least Common Multiple (LCM) of 3978 and 3985 is 15852330.
LCM(3978,3985) = 15852330
LCM of 3978 and 3985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3978 and 3985 by Prime method
- Least Common Multiple of 3978 and 3985 with GCF Formula
LCM of 3978 and 3985 is 15852330
Least common multiple can be found by multiplying the highest exponent prime factors of 3978 and 3985. First we will calculate the prime factors of 3978 and 3985.
Prime Factorization of 3978
| 2 | 3978 |
| 3 | 1989 |
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 3978 are 2, 3, 13,17. Prime factorization of 3978 in exponential form is:
3978 = 21×32×131×171
Prime Factorization of 3985
| 5 | 3985 |
| 797 | 797 |
| 1 |
Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:
3985 = 51×7971
Now multiplying the highest exponent prime factors to calculate the LCM of 3978 and 3985.
LCM(3978,3985) = 21×32×51×131×171×7971
LCM(3978,3985) = 15852330
Factors of 3978
List of positive integer factors of 3978 that divides 3978 without a remainder.
1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
Factors of 3985
List of positive integer factors of 3985 that divides 3985 without a remainder.
1, 5, 797, 3985
Least Common Multiple of 3978 and 3985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3978 and 3985, than apply into the LCM equation.
GCF(3978,3985) = 1
LCM(3978,3985) = ( 3978 × 3985) / 1
LCM(3978,3985) = 15852330 / 1
LCM(3978,3985) = 15852330
Properties of LCM 3978 and 3985
(i) The LCM of 3985 and 3978 is associative
LCM of 3978 and 3985 = LCM of 3985 and 3978
Related Least Common Multiples of 3978
Related Least Common Multiples of 3985
Frequently Asked Questions on LCM of 3978 and 3985
1. What is the LCM of 3978 and 3985?
Answer: LCM of 3978 and 3985 is 15852330.
2. What are the Factors of 3978?
Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.
3. What are the Factors of 3985?
Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.
4. How to Find the LCM of 3978 and 3985?
Answer:
Least Common Multiple of 3978 and 3985 = 15852330
Step 1: Find the prime factorization of 3978
3978 = 2 x 3 x 3 x 13 x 17
Step 2: Find the prime factorization of 3985
3985 = 5 x 797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15852330 = 2 x 3 x 3 x 5 x 13 x 17 x 797
Step 4: Therefore, the least common multiple of 3978 and 3985 is 15852330.