Least Common Multiple of 1986 and 1991
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1986 and 1991 the smallest integer that is 3954126 that is divisible by both numbers.
Least Common Multiple (LCM) of 1986 and 1991 is 3954126.
LCM(1986,1991) = 3954126
LCM of 1986 and 1991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1986 and 1991 by Prime method
- Least Common Multiple of 1986 and 1991 with GCF Formula
LCM of 1986 and 1991 is 3954126
Least common multiple can be found by multiplying the highest exponent prime factors of 1986 and 1991. First we will calculate the prime factors of 1986 and 1991.
Prime Factorization of 1986
| 2 | 1986 |
| 3 | 993 |
| 331 | 331 |
| 1 |
Prime factors of 1986 are 2, 3,331. Prime factorization of 1986 in exponential form is:
1986 = 21×31×3311
Prime Factorization of 1991
| 11 | 1991 |
| 181 | 181 |
| 1 |
Prime factors of 1991 are 11,181. Prime factorization of 1991 in exponential form is:
1991 = 111×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 1986 and 1991.
LCM(1986,1991) = 21×31×111×1811×3311
LCM(1986,1991) = 3954126
Factors of 1986
List of positive integer factors of 1986 that divides 1986 without a remainder.
1, 2, 3, 6, 331, 662, 993, 1986
Factors of 1991
List of positive integer factors of 1991 that divides 1991 without a remainder.
1, 11, 181, 1991
Least Common Multiple of 1986 and 1991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1986 and 1991, than apply into the LCM equation.
GCF(1986,1991) = 1
LCM(1986,1991) = ( 1986 × 1991) / 1
LCM(1986,1991) = 3954126 / 1
LCM(1986,1991) = 3954126
Properties of LCM 1986 and 1991
(i) The LCM of 1991 and 1986 is associative
LCM of 1986 and 1991 = LCM of 1991 and 1986
Related Least Common Multiples of 1986
Related Least Common Multiples of 1991
Frequently Asked Questions on LCM of 1986 and 1991
1. What is the LCM of 1986 and 1991?
Answer: LCM of 1986 and 1991 is 3954126.
2. What are the Factors of 1986?
Answer: Factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986. There are 8 integers that are factors of 1986. The greatest factor of 1986 is 1986.
3. What are the Factors of 1991?
Answer: Factors of 1991 are 1, 11, 181, 1991. There are 4 integers that are factors of 1991. The greatest factor of 1991 is 1991.
4. How to Find the LCM of 1986 and 1991?
Answer:
Least Common Multiple of 1986 and 1991 = 3954126
Step 1: Find the prime factorization of 1986
1986 = 2 x 3 x 331
Step 2: Find the prime factorization of 1991
1991 = 11 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3954126 = 2 x 3 x 11 x 181 x 331
Step 4: Therefore, the least common multiple of 1986 and 1991 is 3954126.