Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 159 and 166 the smallest integer that is 26394 that is divisible by both numbers.
Least Common Multiple (LCM) of 159 and 166 is 26394.
LCM(159,166) = 26394
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 159 and 166. First we will calculate the prime factors of 159 and 166.
Prime Factorization of 159
3 | 159 |
53 | 53 |
1 |
Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:
159 = 31×531
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 159 and 166.
LCM(159,166) = 21×31×531×831
LCM(159,166) = 26394
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1, 3, 53, 159
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 159 and 166, than apply into the LCM equation.
GCF(159,166) = 1
LCM(159,166) = ( 159 × 166) / 1
LCM(159,166) = 26394 / 1
LCM(159,166) = 26394
(i) The LCM of 166 and 159 is associative
LCM of 159 and 166 = LCM of 166 and 159
1. What is the LCM of 159 and 166?
Answer: LCM of 159 and 166 is 26394.
2. What are the Factors of 159?
Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.
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 159 and 166?
Answer:
Least Common Multiple of 159 and 166 = 26394
Step 1: Find the prime factorization of 159
159 = 3 x 53
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 = 26394 = 2 x 3 x 53 x 83
Step 4: Therefore, the least common multiple of 159 and 166 is 26394.