Least Common Multiple of 3962 and 3969
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3962 and 3969 the smallest integer that is 2246454 that is divisible by both numbers.
Least Common Multiple (LCM) of 3962 and 3969 is 2246454.
LCM(3962,3969) = 2246454
LCM of 3962 and 3969
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3962 and 3969 by Prime method
- Least Common Multiple of 3962 and 3969 with GCF Formula
LCM of 3962 and 3969 is 2246454
Least common multiple can be found by multiplying the highest exponent prime factors of 3962 and 3969. First we will calculate the prime factors of 3962 and 3969.
Prime Factorization of 3962
| 2 | 3962 |
| 7 | 1981 |
| 283 | 283 |
| 1 |
Prime factors of 3962 are 2, 7,283. Prime factorization of 3962 in exponential form is:
3962 = 21×71×2831
Prime Factorization of 3969
| 3 | 3969 |
| 3 | 1323 |
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:
3969 = 34×72
Now multiplying the highest exponent prime factors to calculate the LCM of 3962 and 3969.
LCM(3962,3969) = 21×34×72×2831
LCM(3962,3969) = 2246454
Factors of 3962
List of positive integer factors of 3962 that divides 3962 without a remainder.
1, 2, 7, 14, 283, 566, 1981, 3962
Factors of 3969
List of positive integer factors of 3969 that divides 3969 without a remainder.
1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
Least Common Multiple of 3962 and 3969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3962 and 3969, than apply into the LCM equation.
GCF(3962,3969) = 7
LCM(3962,3969) = ( 3962 × 3969) / 7
LCM(3962,3969) = 15725178 / 7
LCM(3962,3969) = 2246454
Properties of LCM 3962 and 3969
(i) The LCM of 3969 and 3962 is associative
LCM of 3962 and 3969 = LCM of 3969 and 3962
Related Least Common Multiples of 3962
Related Least Common Multiples of 3969
Frequently Asked Questions on LCM of 3962 and 3969
1. What is the LCM of 3962 and 3969?
Answer: LCM of 3962 and 3969 is 2246454.
2. What are the Factors of 3962?
Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.
3. What are the Factors of 3969?
Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.
4. How to Find the LCM of 3962 and 3969?
Answer:
Least Common Multiple of 3962 and 3969 = 2246454
Step 1: Find the prime factorization of 3962
3962 = 2 x 7 x 283
Step 2: Find the prime factorization of 3969
3969 = 3 x 3 x 3 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2246454 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 283
Step 4: Therefore, the least common multiple of 3962 and 3969 is 2246454.