Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3979 and 3987 the smallest integer that is 15864273 that is divisible by both numbers.
Least Common Multiple (LCM) of 3979 and 3987 is 15864273.
LCM(3979,3987) = 15864273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3979 and 3987. First we will calculate the prime factors of 3979 and 3987.
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
Prime Factorization of 3987
3 | 3987 |
3 | 1329 |
443 | 443 |
1 |
Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:
3987 = 32×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 3979 and 3987.
LCM(3979,3987) = 32×231×1731×4431
LCM(3979,3987) = 15864273
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1, 23, 173, 3979
Factors of 3987
List of positive integer factors of 3987 that divides 3987 without a remainder.
1, 3, 9, 443, 1329, 3987
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3979 and 3987, than apply into the LCM equation.
GCF(3979,3987) = 1
LCM(3979,3987) = ( 3979 × 3987) / 1
LCM(3979,3987) = 15864273 / 1
LCM(3979,3987) = 15864273
(i) The LCM of 3987 and 3979 is associative
LCM of 3979 and 3987 = LCM of 3987 and 3979
1. What is the LCM of 3979 and 3987?
Answer: LCM of 3979 and 3987 is 15864273.
2. 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.
3. What are the Factors of 3987?
Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.
4. How to Find the LCM of 3979 and 3987?
Answer:
Least Common Multiple of 3979 and 3987 = 15864273
Step 1: Find the prime factorization of 3979
3979 = 23 x 173
Step 2: Find the prime factorization of 3987
3987 = 3 x 3 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15864273 = 3 x 3 x 23 x 173 x 443
Step 4: Therefore, the least common multiple of 3979 and 3987 is 15864273.