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 958 the smallest integer that is 914890 that is divisible by both numbers.
Least Common Multiple (LCM) of 955 and 958 is 914890.
LCM(955,958) = 914890
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 958. First we will calculate the prime factors of 955 and 958.
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 958
2 | 958 |
479 | 479 |
1 |
Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:
958 = 21×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 955 and 958.
LCM(955,958) = 21×51×1911×4791
LCM(955,958) = 914890
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1, 2, 479, 958
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 955 and 958, than apply into the LCM equation.
GCF(955,958) = 1
LCM(955,958) = ( 955 × 958) / 1
LCM(955,958) = 914890 / 1
LCM(955,958) = 914890
(i) The LCM of 958 and 955 is associative
LCM of 955 and 958 = LCM of 958 and 955
1. What is the LCM of 955 and 958?
Answer: LCM of 955 and 958 is 914890.
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 958?
Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.
4. How to Find the LCM of 955 and 958?
Answer:
Least Common Multiple of 955 and 958 = 914890
Step 1: Find the prime factorization of 955
955 = 5 x 191
Step 2: Find the prime factorization of 958
958 = 2 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 914890 = 2 x 5 x 191 x 479
Step 4: Therefore, the least common multiple of 955 and 958 is 914890.