Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 161 and 167 the smallest integer that is 26887 that is divisible by both numbers.
Least Common Multiple (LCM) of 161 and 167 is 26887.
LCM(161,167) = 26887
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 161 and 167. First we will calculate the prime factors of 161 and 167.
Prime Factorization of 161
7 | 161 |
23 | 23 |
1 |
Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:
161 = 71×231
Prime Factorization of 167
167 | 167 |
1 |
Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:
167 = 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 161 and 167.
LCM(161,167) = 71×231×1671
LCM(161,167) = 26887
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1, 167
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 161 and 167, than apply into the LCM equation.
GCF(161,167) = 1
LCM(161,167) = ( 161 × 167) / 1
LCM(161,167) = 26887 / 1
LCM(161,167) = 26887
(i) The LCM of 167 and 161 is associative
LCM of 161 and 167 = LCM of 167 and 161
1. What is the LCM of 161 and 167?
Answer: LCM of 161 and 167 is 26887.
2. What are the Factors of 161?
Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.
3. What are the Factors of 167?
Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.
4. How to Find the LCM of 161 and 167?
Answer:
Least Common Multiple of 161 and 167 = 26887
Step 1: Find the prime factorization of 161
161 = 7 x 23
Step 2: Find the prime factorization of 167
167 = 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26887 = 7 x 23 x 167
Step 4: Therefore, the least common multiple of 161 and 167 is 26887.