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 4184 the smallest integer that is 17476568 that is divisible by both numbers.
Least Common Multiple (LCM) of 4177 and 4184 is 17476568.
LCM(4177,4184) = 17476568
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 4184. First we will calculate the prime factors of 4177 and 4184.
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 4184
2 | 4184 |
2 | 2092 |
2 | 1046 |
523 | 523 |
1 |
Prime factors of 4184 are 2,523. Prime factorization of 4184 in exponential form is:
4184 = 23×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 4177 and 4184.
LCM(4177,4184) = 23×5231×41771
LCM(4177,4184) = 17476568
Factors of 4177
List of positive integer factors of 4177 that divides 4177 without a remainder.
1, 4177
Factors of 4184
List of positive integer factors of 4184 that divides 4184 without a remainder.
1, 2, 4, 8, 523, 1046, 2092, 4184
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4177 and 4184, than apply into the LCM equation.
GCF(4177,4184) = 1
LCM(4177,4184) = ( 4177 × 4184) / 1
LCM(4177,4184) = 17476568 / 1
LCM(4177,4184) = 17476568
(i) The LCM of 4184 and 4177 is associative
LCM of 4177 and 4184 = LCM of 4184 and 4177
1. What is the LCM of 4177 and 4184?
Answer: LCM of 4177 and 4184 is 17476568.
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 4184?
Answer: Factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184. There are 8 integers that are factors of 4184. The greatest factor of 4184 is 4184.
4. How to Find the LCM of 4177 and 4184?
Answer:
Least Common Multiple of 4177 and 4184 = 17476568
Step 1: Find the prime factorization of 4177
4177 = 4177
Step 2: Find the prime factorization of 4184
4184 = 2 x 2 x 2 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17476568 = 2 x 2 x 2 x 523 x 4177
Step 4: Therefore, the least common multiple of 4177 and 4184 is 17476568.