Least Common Multiple of 965 and 969
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 965 and 969 the smallest integer that is 935085 that is divisible by both numbers.
Least Common Multiple (LCM) of 965 and 969 is 935085.
LCM(965,969) = 935085
LCM of 965 and 969
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 965 and 969 by Prime method
- Least Common Multiple of 965 and 969 with GCF Formula
LCM of 965 and 969 is 935085
Least common multiple can be found by multiplying the highest exponent prime factors of 965 and 969. First we will calculate the prime factors of 965 and 969.
Prime Factorization of 965
| 5 | 965 |
| 193 | 193 |
| 1 |
Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:
965 = 51×1931
Prime Factorization of 969
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:
969 = 31×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 965 and 969.
LCM(965,969) = 31×51×171×191×1931
LCM(965,969) = 935085
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Least Common Multiple of 965 and 969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 965 and 969, than apply into the LCM equation.
GCF(965,969) = 1
LCM(965,969) = ( 965 × 969) / 1
LCM(965,969) = 935085 / 1
LCM(965,969) = 935085
Properties of LCM 965 and 969
(i) The LCM of 969 and 965 is associative
LCM of 965 and 969 = LCM of 969 and 965
Related Least Common Multiples of 965
Related Least Common Multiples of 969
Frequently Asked Questions on LCM of 965 and 969
1. What is the LCM of 965 and 969?
Answer: LCM of 965 and 969 is 935085.
2. What are the Factors of 965?
Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.
3. What are the Factors of 969?
Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.
4. How to Find the LCM of 965 and 969?
Answer:
Least Common Multiple of 965 and 969 = 935085
Step 1: Find the prime factorization of 965
965 = 5 x 193
Step 2: Find the prime factorization of 969
969 = 3 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 935085 = 3 x 5 x 17 x 19 x 193
Step 4: Therefore, the least common multiple of 965 and 969 is 935085.
