Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3980 and 3986 the smallest integer that is 7932140 that is divisible by both numbers.
Least Common Multiple (LCM) of 3980 and 3986 is 7932140.
LCM(3980,3986) = 7932140
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 3980 and 3986. First we will calculate the prime factors of 3980 and 3986.
Prime Factorization of 3980
2 | 3980 |
2 | 1990 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 3980 are 2, 5,199. Prime factorization of 3980 in exponential form is:
3980 = 22×51×1991
Prime Factorization of 3986
2 | 3986 |
1993 | 1993 |
1 |
Prime factors of 3986 are 2,1993. Prime factorization of 3986 in exponential form is:
3986 = 21×19931
Now multiplying the highest exponent prime factors to calculate the LCM of 3980 and 3986.
LCM(3980,3986) = 22×51×1991×19931
LCM(3980,3986) = 7932140
Factors of 3980
List of positive integer factors of 3980 that divides 3980 without a remainder.
1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980
Factors of 3986
List of positive integer factors of 3986 that divides 3986 without a remainder.
1, 2, 1993, 3986
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3980 and 3986, than apply into the LCM equation.
GCF(3980,3986) = 2
LCM(3980,3986) = ( 3980 × 3986) / 2
LCM(3980,3986) = 15864280 / 2
LCM(3980,3986) = 7932140
(i) The LCM of 3986 and 3980 is associative
LCM of 3980 and 3986 = LCM of 3986 and 3980
1. What is the LCM of 3980 and 3986?
Answer: LCM of 3980 and 3986 is 7932140.
2. What are the Factors of 3980?
Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.
3. What are the Factors of 3986?
Answer: Factors of 3986 are 1, 2, 1993, 3986. There are 4 integers that are factors of 3986. The greatest factor of 3986 is 3986.
4. How to Find the LCM of 3980 and 3986?
Answer:
Least Common Multiple of 3980 and 3986 = 7932140
Step 1: Find the prime factorization of 3980
3980 = 2 x 2 x 5 x 199
Step 2: Find the prime factorization of 3986
3986 = 2 x 1993
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7932140 = 2 x 2 x 5 x 199 x 1993
Step 4: Therefore, the least common multiple of 3980 and 3986 is 7932140.