Least Common Multiple of 955 and 959
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 955 and 959 the smallest integer that is 915845 that is divisible by both numbers.
Least Common Multiple (LCM) of 955 and 959 is 915845.
LCM(955,959) = 915845
LCM of 955 and 959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 955 and 959 by Prime method
- Least Common Multiple of 955 and 959 with GCF Formula
LCM of 955 and 959 is 915845
Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 959. First we will calculate the prime factors of 955 and 959.
Prime Factorization of 955
| 5 | 955 |
| 191 | 191 |
| 1 |
Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:
955 = 51×1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 955 and 959.
LCM(955,959) = 51×71×1371×1911
LCM(955,959) = 915845
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Least Common Multiple of 955 and 959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 955 and 959, than apply into the LCM equation.
GCF(955,959) = 1
LCM(955,959) = ( 955 × 959) / 1
LCM(955,959) = 915845 / 1
LCM(955,959) = 915845
Properties of LCM 955 and 959
(i) The LCM of 959 and 955 is associative
LCM of 955 and 959 = LCM of 959 and 955
Related Least Common Multiples of 955
Related Least Common Multiples of 959
Frequently Asked Questions on LCM of 955 and 959
1. What is the LCM of 955 and 959?
Answer: LCM of 955 and 959 is 915845.
2. What are the Factors of 955?
Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.
3. 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.
4. How to Find the LCM of 955 and 959?
Answer:
Least Common Multiple of 955 and 959 = 915845
Step 1: Find the prime factorization of 955
955 = 5 x 191
Step 2: Find the prime factorization of 959
959 = 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 915845 = 5 x 7 x 137 x 191
Step 4: Therefore, the least common multiple of 955 and 959 is 915845.