Least Common Multiple of 1965 and 1969
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1965 and 1969 the smallest integer that is 3869085 that is divisible by both numbers.
Least Common Multiple (LCM) of 1965 and 1969 is 3869085.
LCM(1965,1969) = 3869085
LCM of 1965 and 1969
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1965 and 1969 by Prime method
- Least Common Multiple of 1965 and 1969 with GCF Formula
LCM of 1965 and 1969 is 3869085
Least common multiple can be found by multiplying the highest exponent prime factors of 1965 and 1969. First we will calculate the prime factors of 1965 and 1969.
Prime Factorization of 1965
| 3 | 1965 |
| 5 | 655 |
| 131 | 131 |
| 1 |
Prime factors of 1965 are 3, 5,131. Prime factorization of 1965 in exponential form is:
1965 = 31×51×1311
Prime Factorization of 1969
| 11 | 1969 |
| 179 | 179 |
| 1 |
Prime factors of 1969 are 11,179. Prime factorization of 1969 in exponential form is:
1969 = 111×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 1965 and 1969.
LCM(1965,1969) = 31×51×111×1311×1791
LCM(1965,1969) = 3869085
Factors of 1965
List of positive integer factors of 1965 that divides 1965 without a remainder.
1, 3, 5, 15, 131, 393, 655, 1965
Factors of 1969
List of positive integer factors of 1969 that divides 1969 without a remainder.
1, 11, 179, 1969
Least Common Multiple of 1965 and 1969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1965 and 1969, than apply into the LCM equation.
GCF(1965,1969) = 1
LCM(1965,1969) = ( 1965 × 1969) / 1
LCM(1965,1969) = 3869085 / 1
LCM(1965,1969) = 3869085
Properties of LCM 1965 and 1969
(i) The LCM of 1969 and 1965 is associative
LCM of 1965 and 1969 = LCM of 1969 and 1965
Related Least Common Multiples of 1965
Related Least Common Multiples of 1969
Frequently Asked Questions on LCM of 1965 and 1969
1. What is the LCM of 1965 and 1969?
Answer: LCM of 1965 and 1969 is 3869085.
2. What are the Factors of 1965?
Answer: Factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965. There are 8 integers that are factors of 1965. The greatest factor of 1965 is 1965.
3. What are the Factors of 1969?
Answer: Factors of 1969 are 1, 11, 179, 1969. There are 4 integers that are factors of 1969. The greatest factor of 1969 is 1969.
4. How to Find the LCM of 1965 and 1969?
Answer:
Least Common Multiple of 1965 and 1969 = 3869085
Step 1: Find the prime factorization of 1965
1965 = 3 x 5 x 131
Step 2: Find the prime factorization of 1969
1969 = 11 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3869085 = 3 x 5 x 11 x 131 x 179
Step 4: Therefore, the least common multiple of 1965 and 1969 is 3869085.