Least Common Multiple of 959 and 962
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 962 the smallest integer that is 922558 that is divisible by both numbers.
Least Common Multiple (LCM) of 959 and 962 is 922558.
LCM(959,962) = 922558
LCM of 959 and 962
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 959 and 962 by Prime method
- Least Common Multiple of 959 and 962 with GCF Formula
LCM of 959 and 962 is 922558
Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 962. First we will calculate the prime factors of 959 and 962.
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 962
| 2 | 962 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:
962 = 21×131×371
Now multiplying the highest exponent prime factors to calculate the LCM of 959 and 962.
LCM(959,962) = 21×71×131×371×1371
LCM(959,962) = 922558
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Least Common Multiple of 959 and 962 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 962, than apply into the LCM equation.
GCF(959,962) = 1
LCM(959,962) = ( 959 × 962) / 1
LCM(959,962) = 922558 / 1
LCM(959,962) = 922558
Properties of LCM 959 and 962
(i) The LCM of 962 and 959 is associative
LCM of 959 and 962 = LCM of 962 and 959
Related Least Common Multiples of 959
Related Least Common Multiples of 962
Frequently Asked Questions on LCM of 959 and 962
1. What is the LCM of 959 and 962?
Answer: LCM of 959 and 962 is 922558.
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 962?
Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.
4. How to Find the LCM of 959 and 962?
Answer:
Least Common Multiple of 959 and 962 = 922558
Step 1: Find the prime factorization of 959
959 = 7 x 137
Step 2: Find the prime factorization of 962
962 = 2 x 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 922558 = 2 x 7 x 13 x 37 x 137
Step 4: Therefore, the least common multiple of 959 and 962 is 922558.