Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3990 and 3994 the smallest integer that is 7968030 that is divisible by both numbers.
Least Common Multiple (LCM) of 3990 and 3994 is 7968030.
LCM(3990,3994) = 7968030
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 3990 and 3994. First we will calculate the prime factors of 3990 and 3994.
Prime Factorization of 3990
2 | 3990 |
3 | 1995 |
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 3990 are 2, 3, 5, 7,19. Prime factorization of 3990 in exponential form is:
3990 = 21×31×51×71×191
Prime Factorization of 3994
2 | 3994 |
1997 | 1997 |
1 |
Prime factors of 3994 are 2,1997. Prime factorization of 3994 in exponential form is:
3994 = 21×19971
Now multiplying the highest exponent prime factors to calculate the LCM of 3990 and 3994.
LCM(3990,3994) = 21×31×51×71×191×19971
LCM(3990,3994) = 7968030
Factors of 3990
List of positive integer factors of 3990 that divides 3990 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1, 2, 1997, 3994
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3990 and 3994, than apply into the LCM equation.
GCF(3990,3994) = 2
LCM(3990,3994) = ( 3990 × 3994) / 2
LCM(3990,3994) = 15936060 / 2
LCM(3990,3994) = 7968030
(i) The LCM of 3994 and 3990 is associative
LCM of 3990 and 3994 = LCM of 3994 and 3990
1. What is the LCM of 3990 and 3994?
Answer: LCM of 3990 and 3994 is 7968030.
2. What are the Factors of 3990?
Answer: Factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. There are 32 integers that are factors of 3990. The greatest factor of 3990 is 3990.
3. What are the Factors of 3994?
Answer: Factors of 3994 are 1, 2, 1997, 3994. There are 4 integers that are factors of 3994. The greatest factor of 3994 is 3994.
4. How to Find the LCM of 3990 and 3994?
Answer:
Least Common Multiple of 3990 and 3994 = 7968030
Step 1: Find the prime factorization of 3990
3990 = 2 x 3 x 5 x 7 x 19
Step 2: Find the prime factorization of 3994
3994 = 2 x 1997
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7968030 = 2 x 3 x 5 x 7 x 19 x 1997
Step 4: Therefore, the least common multiple of 3990 and 3994 is 7968030.