Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3162 and 3166 the smallest integer that is 5005446 that is divisible by both numbers.
Least Common Multiple (LCM) of 3162 and 3166 is 5005446.
LCM(3162,3166) = 5005446
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 3162 and 3166. First we will calculate the prime factors of 3162 and 3166.
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
Prime Factorization of 3166
2 | 3166 |
1583 | 1583 |
1 |
Prime factors of 3166 are 2,1583. Prime factorization of 3166 in exponential form is:
3166 = 21×15831
Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3166.
LCM(3162,3166) = 21×31×171×311×15831
LCM(3162,3166) = 5005446
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
Factors of 3166
List of positive integer factors of 3166 that divides 3166 without a remainder.
1, 2, 1583, 3166
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3162 and 3166, than apply into the LCM equation.
GCF(3162,3166) = 2
LCM(3162,3166) = ( 3162 × 3166) / 2
LCM(3162,3166) = 10010892 / 2
LCM(3162,3166) = 5005446
(i) The LCM of 3166 and 3162 is associative
LCM of 3162 and 3166 = LCM of 3166 and 3162
1. What is the LCM of 3162 and 3166?
Answer: LCM of 3162 and 3166 is 5005446.
2. 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.
3. What are the Factors of 3166?
Answer: Factors of 3166 are 1, 2, 1583, 3166. There are 4 integers that are factors of 3166. The greatest factor of 3166 is 3166.
4. How to Find the LCM of 3162 and 3166?
Answer:
Least Common Multiple of 3162 and 3166 = 5005446
Step 1: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
Step 2: Find the prime factorization of 3166
3166 = 2 x 1583
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5005446 = 2 x 3 x 17 x 31 x 1583
Step 4: Therefore, the least common multiple of 3162 and 3166 is 5005446.