Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3158 and 3163 the smallest integer that is 9988754 that is divisible by both numbers.
Least Common Multiple (LCM) of 3158 and 3163 is 9988754.
LCM(3158,3163) = 9988754
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 3158 and 3163. First we will calculate the prime factors of 3158 and 3163.
Prime Factorization of 3158
2 | 3158 |
1579 | 1579 |
1 |
Prime factors of 3158 are 2,1579. Prime factorization of 3158 in exponential form is:
3158 = 21×15791
Prime Factorization of 3163
3163 | 3163 |
1 |
Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:
3163 = 31631
Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3163.
LCM(3158,3163) = 21×15791×31631
LCM(3158,3163) = 9988754
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1, 2, 1579, 3158
Factors of 3163
List of positive integer factors of 3163 that divides 3163 without a remainder.
1, 3163
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3163, than apply into the LCM equation.
GCF(3158,3163) = 1
LCM(3158,3163) = ( 3158 × 3163) / 1
LCM(3158,3163) = 9988754 / 1
LCM(3158,3163) = 9988754
(i) The LCM of 3163 and 3158 is associative
LCM of 3158 and 3163 = LCM of 3163 and 3158
1. What is the LCM of 3158 and 3163?
Answer: LCM of 3158 and 3163 is 9988754.
2. What are the Factors of 3158?
Answer: Factors of 3158 are 1, 2, 1579, 3158. There are 4 integers that are factors of 3158. The greatest factor of 3158 is 3158.
3. What are the Factors of 3163?
Answer: Factors of 3163 are 1, 3163. There are 2 integers that are factors of 3163. The greatest factor of 3163 is 3163.
4. How to Find the LCM of 3158 and 3163?
Answer:
Least Common Multiple of 3158 and 3163 = 9988754
Step 1: Find the prime factorization of 3158
3158 = 2 x 1579
Step 2: Find the prime factorization of 3163
3163 = 3163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9988754 = 2 x 1579 x 3163
Step 4: Therefore, the least common multiple of 3158 and 3163 is 9988754.