Least Common Multiple of 3970 and 3977
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3970 and 3977 the smallest integer that is 15788690 that is divisible by both numbers.
Least Common Multiple (LCM) of 3970 and 3977 is 15788690.
LCM(3970,3977) = 15788690
LCM of 3970 and 3977
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3970 and 3977 by Prime method
- Least Common Multiple of 3970 and 3977 with GCF Formula
LCM of 3970 and 3977 is 15788690
Least common multiple can be found by multiplying the highest exponent prime factors of 3970 and 3977. First we will calculate the prime factors of 3970 and 3977.
Prime Factorization of 3970
| 2 | 3970 |
| 5 | 1985 |
| 397 | 397 |
| 1 |
Prime factors of 3970 are 2, 5,397. Prime factorization of 3970 in exponential form is:
3970 = 21×51×3971
Prime Factorization of 3977
| 41 | 3977 |
| 97 | 97 |
| 1 |
Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:
3977 = 411×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3970 and 3977.
LCM(3970,3977) = 21×51×411×971×3971
LCM(3970,3977) = 15788690
Factors of 3970
List of positive integer factors of 3970 that divides 3970 without a remainder.
1, 2, 5, 10, 397, 794, 1985, 3970
Factors of 3977
List of positive integer factors of 3977 that divides 3977 without a remainder.
1, 41, 97, 3977
Least Common Multiple of 3970 and 3977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3970 and 3977, than apply into the LCM equation.
GCF(3970,3977) = 1
LCM(3970,3977) = ( 3970 × 3977) / 1
LCM(3970,3977) = 15788690 / 1
LCM(3970,3977) = 15788690
Properties of LCM 3970 and 3977
(i) The LCM of 3977 and 3970 is associative
LCM of 3970 and 3977 = LCM of 3977 and 3970
Related Least Common Multiples of 3970
Related Least Common Multiples of 3977
Frequently Asked Questions on LCM of 3970 and 3977
1. What is the LCM of 3970 and 3977?
Answer: LCM of 3970 and 3977 is 15788690.
2. What are the Factors of 3970?
Answer: Factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970. There are 8 integers that are factors of 3970. The greatest factor of 3970 is 3970.
3. What are the Factors of 3977?
Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.
4. How to Find the LCM of 3970 and 3977?
Answer:
Least Common Multiple of 3970 and 3977 = 15788690
Step 1: Find the prime factorization of 3970
3970 = 2 x 5 x 397
Step 2: Find the prime factorization of 3977
3977 = 41 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15788690 = 2 x 5 x 41 x 97 x 397
Step 4: Therefore, the least common multiple of 3970 and 3977 is 15788690.