Least Common Multiple of 959 and 965
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 959 and 965 the smallest integer that is 925435 that is divisible by both numbers.
Least Common Multiple (LCM) of 959 and 965 is 925435.
LCM(959,965) = 925435
LCM of 959 and 965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 959 and 965 by Prime method
- Least Common Multiple of 959 and 965 with GCF Formula
LCM of 959 and 965 is 925435
Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 965. First we will calculate the prime factors of 959 and 965.
Prime Factorization of 959
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:
959 = 71×1371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 959 and 965.
LCM(959,965) = 51×71×1371×1931
LCM(959,965) = 925435
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Least Common Multiple of 959 and 965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 959 and 965, than apply into the LCM equation.
GCF(959,965) = 1
LCM(959,965) = ( 959 × 965) / 1
LCM(959,965) = 925435 / 1
LCM(959,965) = 925435
Properties of LCM 959 and 965
(i) The LCM of 965 and 959 is associative
LCM of 959 and 965 = LCM of 965 and 959
Related Least Common Multiples of 959
Related Least Common Multiples of 965
Frequently Asked Questions on LCM of 959 and 965
1. What is the LCM of 959 and 965?
Answer: LCM of 959 and 965 is 925435.
2. What are the Factors of 959?
Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.
3. 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.
4. How to Find the LCM of 959 and 965?
Answer:
Least Common Multiple of 959 and 965 = 925435
Step 1: Find the prime factorization of 959
959 = 7 x 137
Step 2: Find the prime factorization of 965
965 = 5 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 925435 = 5 x 7 x 137 x 193
Step 4: Therefore, the least common multiple of 959 and 965 is 925435.
