Least Common Multiple of 1985 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 1985 and 1991 the smallest integer that is 3952135 that is divisible by both numbers.
Least Common Multiple (LCM) of 1985 and 1991 is 3952135.
LCM(1985,1991) = 3952135
LCM of 1985 and 1991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1985 and 1991 by Prime method
- Least Common Multiple of 1985 and 1991 with GCF Formula
LCM of 1985 and 1991 is 3952135
Least common multiple can be found by multiplying the highest exponent prime factors of 1985 and 1991. First we will calculate the prime factors of 1985 and 1991.
Prime Factorization of 1985
| 5 | 1985 |
| 397 | 397 |
| 1 |
Prime factors of 1985 are 5,397. Prime factorization of 1985 in exponential form is:
1985 = 51×3971
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 1985 and 1991.
LCM(1985,1991) = 51×111×1811×3971
LCM(1985,1991) = 3952135
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1, 5, 397, 1985
Factors of 1991
List of positive integer factors of 1991 that divides 1991 without a remainder.
1, 11, 181, 1991
Least Common Multiple of 1985 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 1985 and 1991, than apply into the LCM equation.
GCF(1985,1991) = 1
LCM(1985,1991) = ( 1985 × 1991) / 1
LCM(1985,1991) = 3952135 / 1
LCM(1985,1991) = 3952135
Properties of LCM 1985 and 1991
(i) The LCM of 1991 and 1985 is associative
LCM of 1985 and 1991 = LCM of 1991 and 1985
Related Least Common Multiples of 1985
Related Least Common Multiples of 1991
Frequently Asked Questions on LCM of 1985 and 1991
1. What is the LCM of 1985 and 1991?
Answer: LCM of 1985 and 1991 is 3952135.
2. What are the Factors of 1985?
Answer: Factors of 1985 are 1, 5, 397, 1985. There are 4 integers that are factors of 1985. The greatest factor of 1985 is 1985.
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 1985 and 1991?
Answer:
Least Common Multiple of 1985 and 1991 = 3952135
Step 1: Find the prime factorization of 1985
1985 = 5 x 397
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 = 3952135 = 5 x 11 x 181 x 397
Step 4: Therefore, the least common multiple of 1985 and 1991 is 3952135.