Least Common Multiple of 955 and 963
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 963 the smallest integer that is 919665 that is divisible by both numbers.
Least Common Multiple (LCM) of 955 and 963 is 919665.
LCM(955,963) = 919665
LCM of 955 and 963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 955 and 963 by Prime method
- Least Common Multiple of 955 and 963 with GCF Formula
LCM of 955 and 963 is 919665
Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 963. First we will calculate the prime factors of 955 and 963.
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 963
| 3 | 963 |
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:
963 = 32×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 955 and 963.
LCM(955,963) = 32×51×1071×1911
LCM(955,963) = 919665
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Least Common Multiple of 955 and 963 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 963, than apply into the LCM equation.
GCF(955,963) = 1
LCM(955,963) = ( 955 × 963) / 1
LCM(955,963) = 919665 / 1
LCM(955,963) = 919665
Properties of LCM 955 and 963
(i) The LCM of 963 and 955 is associative
LCM of 955 and 963 = LCM of 963 and 955
Related Least Common Multiples of 955
Related Least Common Multiples of 963
Frequently Asked Questions on LCM of 955 and 963
1. What is the LCM of 955 and 963?
Answer: LCM of 955 and 963 is 919665.
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 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
4. How to Find the LCM of 955 and 963?
Answer:
Least Common Multiple of 955 and 963 = 919665
Step 1: Find the prime factorization of 955
955 = 5 x 191
Step 2: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 919665 = 3 x 3 x 5 x 107 x 191
Step 4: Therefore, the least common multiple of 955 and 963 is 919665.