Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4168 and 4176 the smallest integer that is 2175696 that is divisible by both numbers.
Least Common Multiple (LCM) of 4168 and 4176 is 2175696.
LCM(4168,4176) = 2175696
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 4168 and 4176. First we will calculate the prime factors of 4168 and 4176.
Prime Factorization of 4168
2 | 4168 |
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:
4168 = 23×5211
Prime Factorization of 4176
2 | 4176 |
2 | 2088 |
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 4176 are 2, 3,29. Prime factorization of 4176 in exponential form is:
4176 = 24×32×291
Now multiplying the highest exponent prime factors to calculate the LCM of 4168 and 4176.
LCM(4168,4176) = 24×32×291×5211
LCM(4168,4176) = 2175696
Factors of 4168
List of positive integer factors of 4168 that divides 4168 without a remainder.
1, 2, 4, 8, 521, 1042, 2084, 4168
Factors of 4176
List of positive integer factors of 4176 that divides 4176 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4168 and 4176, than apply into the LCM equation.
GCF(4168,4176) = 8
LCM(4168,4176) = ( 4168 × 4176) / 8
LCM(4168,4176) = 17405568 / 8
LCM(4168,4176) = 2175696
(i) The LCM of 4176 and 4168 is associative
LCM of 4168 and 4176 = LCM of 4176 and 4168
1. What is the LCM of 4168 and 4176?
Answer: LCM of 4168 and 4176 is 2175696.
2. What are the Factors of 4168?
Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.
3. What are the Factors of 4176?
Answer: Factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176. There are 30 integers that are factors of 4176. The greatest factor of 4176 is 4176.
4. How to Find the LCM of 4168 and 4176?
Answer:
Least Common Multiple of 4168 and 4176 = 2175696
Step 1: Find the prime factorization of 4168
4168 = 2 x 2 x 2 x 521
Step 2: Find the prime factorization of 4176
4176 = 2 x 2 x 2 x 2 x 3 x 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2175696 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 521
Step 4: Therefore, the least common multiple of 4168 and 4176 is 2175696.