Least Common Multiple of 1989 and 1994
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1989 and 1994 the smallest integer that is 3966066 that is divisible by both numbers.
Least Common Multiple (LCM) of 1989 and 1994 is 3966066.
LCM(1989,1994) = 3966066
LCM of 1989 and 1994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1989 and 1994 by Prime method
- Least Common Multiple of 1989 and 1994 with GCF Formula
LCM of 1989 and 1994 is 3966066
Least common multiple can be found by multiplying the highest exponent prime factors of 1989 and 1994. First we will calculate the prime factors of 1989 and 1994.
Prime Factorization of 1989
| 3 | 1989 |
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 1989 are 3, 13,17. Prime factorization of 1989 in exponential form is:
1989 = 32×131×171
Prime Factorization of 1994
| 2 | 1994 |
| 997 | 997 |
| 1 |
Prime factors of 1994 are 2,997. Prime factorization of 1994 in exponential form is:
1994 = 21×9971
Now multiplying the highest exponent prime factors to calculate the LCM of 1989 and 1994.
LCM(1989,1994) = 21×32×131×171×9971
LCM(1989,1994) = 3966066
Factors of 1989
List of positive integer factors of 1989 that divides 1989 without a remainder.
1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
Factors of 1994
List of positive integer factors of 1994 that divides 1994 without a remainder.
1, 2, 997, 1994
Least Common Multiple of 1989 and 1994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1989 and 1994, than apply into the LCM equation.
GCF(1989,1994) = 1
LCM(1989,1994) = ( 1989 × 1994) / 1
LCM(1989,1994) = 3966066 / 1
LCM(1989,1994) = 3966066
Properties of LCM 1989 and 1994
(i) The LCM of 1994 and 1989 is associative
LCM of 1989 and 1994 = LCM of 1994 and 1989
Related Least Common Multiples of 1989
Related Least Common Multiples of 1994
Frequently Asked Questions on LCM of 1989 and 1994
1. What is the LCM of 1989 and 1994?
Answer: LCM of 1989 and 1994 is 3966066.
2. What are the Factors of 1989?
Answer: Factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. There are 12 integers that are factors of 1989. The greatest factor of 1989 is 1989.
3. What are the Factors of 1994?
Answer: Factors of 1994 are 1, 2, 997, 1994. There are 4 integers that are factors of 1994. The greatest factor of 1994 is 1994.
4. How to Find the LCM of 1989 and 1994?
Answer:
Least Common Multiple of 1989 and 1994 = 3966066
Step 1: Find the prime factorization of 1989
1989 = 3 x 3 x 13 x 17
Step 2: Find the prime factorization of 1994
1994 = 2 x 997
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3966066 = 2 x 3 x 3 x 13 x 17 x 997
Step 4: Therefore, the least common multiple of 1989 and 1994 is 3966066.