Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4169 and 4177 the smallest integer that is 17413913 that is divisible by both numbers.
Least Common Multiple (LCM) of 4169 and 4177 is 17413913.
LCM(4169,4177) = 17413913
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 4169 and 4177. First we will calculate the prime factors of 4169 and 4177.
Prime Factorization of 4169
11 | 4169 |
379 | 379 |
1 |
Prime factors of 4169 are 11,379. Prime factorization of 4169 in exponential form is:
4169 = 111×3791
Prime Factorization of 4177
4177 | 4177 |
1 |
Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:
4177 = 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 4169 and 4177.
LCM(4169,4177) = 111×3791×41771
LCM(4169,4177) = 17413913
Factors of 4169
List of positive integer factors of 4169 that divides 4169 without a remainder.
1, 11, 379, 4169
Factors of 4177
List of positive integer factors of 4177 that divides 4177 without a remainder.
1, 4177
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4169 and 4177, than apply into the LCM equation.
GCF(4169,4177) = 1
LCM(4169,4177) = ( 4169 × 4177) / 1
LCM(4169,4177) = 17413913 / 1
LCM(4169,4177) = 17413913
(i) The LCM of 4177 and 4169 is associative
LCM of 4169 and 4177 = LCM of 4177 and 4169
1. What is the LCM of 4169 and 4177?
Answer: LCM of 4169 and 4177 is 17413913.
2. What are the Factors of 4169?
Answer: Factors of 4169 are 1, 11, 379, 4169. There are 4 integers that are factors of 4169. The greatest factor of 4169 is 4169.
3. What are the Factors of 4177?
Answer: Factors of 4177 are 1, 4177. There are 2 integers that are factors of 4177. The greatest factor of 4177 is 4177.
4. How to Find the LCM of 4169 and 4177?
Answer:
Least Common Multiple of 4169 and 4177 = 17413913
Step 1: Find the prime factorization of 4169
4169 = 11 x 379
Step 2: Find the prime factorization of 4177
4177 = 4177
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17413913 = 11 x 379 x 4177
Step 4: Therefore, the least common multiple of 4169 and 4177 is 17413913.