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 3164 the smallest integer that is 4995956 that is divisible by both numbers.
Least Common Multiple (LCM) of 3158 and 3164 is 4995956.
LCM(3158,3164) = 4995956
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 3164. First we will calculate the prime factors of 3158 and 3164.
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 3164
2 | 3164 |
2 | 1582 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 3164 are 2, 7,113. Prime factorization of 3164 in exponential form is:
3164 = 22×71×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3164.
LCM(3158,3164) = 22×71×1131×15791
LCM(3158,3164) = 4995956
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1, 2, 1579, 3158
Factors of 3164
List of positive integer factors of 3164 that divides 3164 without a remainder.
1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3164, than apply into the LCM equation.
GCF(3158,3164) = 2
LCM(3158,3164) = ( 3158 × 3164) / 2
LCM(3158,3164) = 9991912 / 2
LCM(3158,3164) = 4995956
(i) The LCM of 3164 and 3158 is associative
LCM of 3158 and 3164 = LCM of 3164 and 3158
1. What is the LCM of 3158 and 3164?
Answer: LCM of 3158 and 3164 is 4995956.
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 3164?
Answer: Factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. There are 12 integers that are factors of 3164. The greatest factor of 3164 is 3164.
4. How to Find the LCM of 3158 and 3164?
Answer:
Least Common Multiple of 3158 and 3164 = 4995956
Step 1: Find the prime factorization of 3158
3158 = 2 x 1579
Step 2: Find the prime factorization of 3164
3164 = 2 x 2 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4995956 = 2 x 2 x 7 x 113 x 1579
Step 4: Therefore, the least common multiple of 3158 and 3164 is 4995956.