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 3162 the smallest integer that is 4992798 that is divisible by both numbers.
Least Common Multiple (LCM) of 3158 and 3162 is 4992798.
LCM(3158,3162) = 4992798
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 3162. First we will calculate the prime factors of 3158 and 3162.
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 3162
2 | 3162 |
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 3162 are 2, 3, 17,31. Prime factorization of 3162 in exponential form is:
3162 = 21×31×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3162.
LCM(3158,3162) = 21×31×171×311×15791
LCM(3158,3162) = 4992798
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1, 2, 1579, 3158
Factors of 3162
List of positive integer factors of 3162 that divides 3162 without a remainder.
1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3162, than apply into the LCM equation.
GCF(3158,3162) = 2
LCM(3158,3162) = ( 3158 × 3162) / 2
LCM(3158,3162) = 9985596 / 2
LCM(3158,3162) = 4992798
(i) The LCM of 3162 and 3158 is associative
LCM of 3158 and 3162 = LCM of 3162 and 3158
1. What is the LCM of 3158 and 3162?
Answer: LCM of 3158 and 3162 is 4992798.
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 3162?
Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.
4. How to Find the LCM of 3158 and 3162?
Answer:
Least Common Multiple of 3158 and 3162 = 4992798
Step 1: Find the prime factorization of 3158
3158 = 2 x 1579
Step 2: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4992798 = 2 x 3 x 17 x 31 x 1579
Step 4: Therefore, the least common multiple of 3158 and 3162 is 4992798.