Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 162 and 166 the smallest integer that is 13446 that is divisible by both numbers.
Least Common Multiple (LCM) of 162 and 166 is 13446.
LCM(162,166) = 13446
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 162 and 166. First we will calculate the prime factors of 162 and 166.
Prime Factorization of 162
2 | 162 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:
162 = 21×34
Prime Factorization of 166
2 | 166 |
83 | 83 |
1 |
Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:
166 = 21×831
Now multiplying the highest exponent prime factors to calculate the LCM of 162 and 166.
LCM(162,166) = 21×34×831
LCM(162,166) = 13446
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1, 2, 83, 166
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 162 and 166, than apply into the LCM equation.
GCF(162,166) = 2
LCM(162,166) = ( 162 × 166) / 2
LCM(162,166) = 26892 / 2
LCM(162,166) = 13446
(i) The LCM of 166 and 162 is associative
LCM of 162 and 166 = LCM of 166 and 162
1. What is the LCM of 162 and 166?
Answer: LCM of 162 and 166 is 13446.
2. What are the Factors of 162?
Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.
3. What are the Factors of 166?
Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.
4. How to Find the LCM of 162 and 166?
Answer:
Least Common Multiple of 162 and 166 = 13446
Step 1: Find the prime factorization of 162
162 = 2 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 166
166 = 2 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13446 = 2 x 3 x 3 x 3 x 3 x 83
Step 4: Therefore, the least common multiple of 162 and 166 is 13446.