Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4177 and 4183 the smallest integer that is 17472391 that is divisible by both numbers.
Least Common Multiple (LCM) of 4177 and 4183 is 17472391.
LCM(4177,4183) = 17472391
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 4177 and 4183. First we will calculate the prime factors of 4177 and 4183.
Prime Factorization of 4177
4177 | 4177 |
1 |
Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:
4177 = 41771
Prime Factorization of 4183
47 | 4183 |
89 | 89 |
1 |
Prime factors of 4183 are 47,89. Prime factorization of 4183 in exponential form is:
4183 = 471×891
Now multiplying the highest exponent prime factors to calculate the LCM of 4177 and 4183.
LCM(4177,4183) = 471×891×41771
LCM(4177,4183) = 17472391
Factors of 4177
List of positive integer factors of 4177 that divides 4177 without a remainder.
1, 4177
Factors of 4183
List of positive integer factors of 4183 that divides 4183 without a remainder.
1, 47, 89, 4183
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4177 and 4183, than apply into the LCM equation.
GCF(4177,4183) = 1
LCM(4177,4183) = ( 4177 × 4183) / 1
LCM(4177,4183) = 17472391 / 1
LCM(4177,4183) = 17472391
(i) The LCM of 4183 and 4177 is associative
LCM of 4177 and 4183 = LCM of 4183 and 4177
1. What is the LCM of 4177 and 4183?
Answer: LCM of 4177 and 4183 is 17472391.
2. 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.
3. What are the Factors of 4183?
Answer: Factors of 4183 are 1, 47, 89, 4183. There are 4 integers that are factors of 4183. The greatest factor of 4183 is 4183.
4. How to Find the LCM of 4177 and 4183?
Answer:
Least Common Multiple of 4177 and 4183 = 17472391
Step 1: Find the prime factorization of 4177
4177 = 4177
Step 2: Find the prime factorization of 4183
4183 = 47 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17472391 = 47 x 89 x 4177
Step 4: Therefore, the least common multiple of 4177 and 4183 is 17472391.