Least Common Multiple of 3969 and 3973
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3969 and 3973 the smallest integer that is 15768837 that is divisible by both numbers.
Least Common Multiple (LCM) of 3969 and 3973 is 15768837.
LCM(3969,3973) = 15768837
LCM of 3969 and 3973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3969 and 3973 by Prime method
- Least Common Multiple of 3969 and 3973 with GCF Formula
LCM of 3969 and 3973 is 15768837
Least common multiple can be found by multiplying the highest exponent prime factors of 3969 and 3973. First we will calculate the prime factors of 3969 and 3973.
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
Prime Factorization of 3973
| 29 | 3973 |
| 137 | 137 |
| 1 |
Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:
3973 = 291×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 3969 and 3973.
LCM(3969,3973) = 34×72×291×1371
LCM(3969,3973) = 15768837
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
Factors of 3973
List of positive integer factors of 3973 that divides 3973 without a remainder.
1, 29, 137, 3973
Least Common Multiple of 3969 and 3973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3969 and 3973, than apply into the LCM equation.
GCF(3969,3973) = 1
LCM(3969,3973) = ( 3969 × 3973) / 1
LCM(3969,3973) = 15768837 / 1
LCM(3969,3973) = 15768837
Properties of LCM 3969 and 3973
(i) The LCM of 3973 and 3969 is associative
LCM of 3969 and 3973 = LCM of 3973 and 3969
Related Least Common Multiples of 3969
Related Least Common Multiples of 3973
Frequently Asked Questions on LCM of 3969 and 3973
1. What is the LCM of 3969 and 3973?
Answer: LCM of 3969 and 3973 is 15768837.
2. 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.
3. What are the Factors of 3973?
Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.
4. How to Find the LCM of 3969 and 3973?
Answer:
Least Common Multiple of 3969 and 3973 = 15768837
Step 1: Find the prime factorization of 3969
3969 = 3 x 3 x 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 3973
3973 = 29 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15768837 = 3 x 3 x 3 x 3 x 7 x 7 x 29 x 137
Step 4: Therefore, the least common multiple of 3969 and 3973 is 15768837.