Least Common Multiple of 3973 and 3979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3973 and 3979 the smallest integer that is 15808567 that is divisible by both numbers.
Least Common Multiple (LCM) of 3973 and 3979 is 15808567.
LCM(3973,3979) = 15808567
LCM of 3973 and 3979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3973 and 3979 by Prime method
- Least Common Multiple of 3973 and 3979 with GCF Formula
LCM of 3973 and 3979 is 15808567
Least common multiple can be found by multiplying the highest exponent prime factors of 3973 and 3979. First we will calculate the prime factors of 3973 and 3979.
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
Prime Factorization of 3979
| 23 | 3979 |
| 173 | 173 |
| 1 |
Prime factors of 3979 are 23,173. Prime factorization of 3979 in exponential form is:
3979 = 231×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 3973 and 3979.
LCM(3973,3979) = 231×291×1371×1731
LCM(3973,3979) = 15808567
Factors of 3973
List of positive integer factors of 3973 that divides 3973 without a remainder.
1, 29, 137, 3973
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1, 23, 173, 3979
Least Common Multiple of 3973 and 3979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3973 and 3979, than apply into the LCM equation.
GCF(3973,3979) = 1
LCM(3973,3979) = ( 3973 × 3979) / 1
LCM(3973,3979) = 15808567 / 1
LCM(3973,3979) = 15808567
Properties of LCM 3973 and 3979
(i) The LCM of 3979 and 3973 is associative
LCM of 3973 and 3979 = LCM of 3979 and 3973
Related Least Common Multiples of 3973
Related Least Common Multiples of 3979
Frequently Asked Questions on LCM of 3973 and 3979
1. What is the LCM of 3973 and 3979?
Answer: LCM of 3973 and 3979 is 15808567.
2. 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.
3. What are the Factors of 3979?
Answer: Factors of 3979 are 1, 23, 173, 3979. There are 4 integers that are factors of 3979. The greatest factor of 3979 is 3979.
4. How to Find the LCM of 3973 and 3979?
Answer:
Least Common Multiple of 3973 and 3979 = 15808567
Step 1: Find the prime factorization of 3973
3973 = 29 x 137
Step 2: Find the prime factorization of 3979
3979 = 23 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15808567 = 23 x 29 x 137 x 173
Step 4: Therefore, the least common multiple of 3973 and 3979 is 15808567.