Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 179 and 181 the smallest integer that is 32399 that is divisible by both numbers.
Least Common Multiple (LCM) of 179 and 181 is 32399.
LCM(179,181) = 32399
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 179 and 181. First we will calculate the prime factors of 179 and 181.
Prime Factorization of 179
179 | 179 |
1 |
Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:
179 = 1791
Prime Factorization of 181
181 | 181 |
1 |
Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:
181 = 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 181.
LCM(179,181) = 1791×1811
LCM(179,181) = 32399
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1, 179
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1, 181
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 179 and 181, than apply into the LCM equation.
GCF(179,181) = 1
LCM(179,181) = ( 179 × 181) / 1
LCM(179,181) = 32399 / 1
LCM(179,181) = 32399
(i) The LCM of 181 and 179 is associative
LCM of 179 and 181 = LCM of 181 and 179
1. What is the LCM of 179 and 181?
Answer: LCM of 179 and 181 is 32399.
2. What are the Factors of 179?
Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.
3. What are the Factors of 181?
Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.
4. How to Find the LCM of 179 and 181?
Answer:
Least Common Multiple of 179 and 181 = 32399
Step 1: Find the prime factorization of 179
179 = 179
Step 2: Find the prime factorization of 181
181 = 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32399 = 179 x 181
Step 4: Therefore, the least common multiple of 179 and 181 is 32399.