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 3165 the smallest integer that is 9995070 that is divisible by both numbers.
Least Common Multiple (LCM) of 3158 and 3165 is 9995070.
LCM(3158,3165) = 9995070
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 3165. First we will calculate the prime factors of 3158 and 3165.
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 3165
3 | 3165 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 3165 are 3, 5,211. Prime factorization of 3165 in exponential form is:
3165 = 31×51×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3165.
LCM(3158,3165) = 21×31×51×2111×15791
LCM(3158,3165) = 9995070
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1, 2, 1579, 3158
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1, 3, 5, 15, 211, 633, 1055, 3165
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3165, than apply into the LCM equation.
GCF(3158,3165) = 1
LCM(3158,3165) = ( 3158 × 3165) / 1
LCM(3158,3165) = 9995070 / 1
LCM(3158,3165) = 9995070
(i) The LCM of 3165 and 3158 is associative
LCM of 3158 and 3165 = LCM of 3165 and 3158
1. What is the LCM of 3158 and 3165?
Answer: LCM of 3158 and 3165 is 9995070.
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 3165?
Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.
4. How to Find the LCM of 3158 and 3165?
Answer:
Least Common Multiple of 3158 and 3165 = 9995070
Step 1: Find the prime factorization of 3158
3158 = 2 x 1579
Step 2: Find the prime factorization of 3165
3165 = 3 x 5 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9995070 = 2 x 3 x 5 x 211 x 1579
Step 4: Therefore, the least common multiple of 3158 and 3165 is 9995070.