Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15176 and 15177 the smallest integer that is 230326152 that is divisible by both numbers.
Least Common Multiple (LCM) of 15176 and 15177 is 230326152.
LCM(15176,15177) = 230326152
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 15176 and 15177. First we will calculate the prime factors of 15176 and 15177.
Prime Factorization of 15176
2 | 15176 |
2 | 7588 |
2 | 3794 |
7 | 1897 |
271 | 271 |
1 |
Prime factors of 15176 are 2, 7,271. Prime factorization of 15176 in exponential form is:
15176 = 23×71×2711
Prime Factorization of 15177
3 | 15177 |
5059 | 5059 |
1 |
Prime factors of 15177 are 3,5059. Prime factorization of 15177 in exponential form is:
15177 = 31×50591
Now multiplying the highest exponent prime factors to calculate the LCM of 15176 and 15177.
LCM(15176,15177) = 23×31×71×2711×50591
LCM(15176,15177) = 230326152
Factors of 15176
List of positive integer factors of 15176 that divides 15176 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588, 15176
Factors of 15177
List of positive integer factors of 15177 that divides 15177 without a remainder.
1, 3, 5059, 15177
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15176 and 15177, than apply into the LCM equation.
GCF(15176,15177) = 1
LCM(15176,15177) = ( 15176 × 15177) / 1
LCM(15176,15177) = 230326152 / 1
LCM(15176,15177) = 230326152
(i) The LCM of 15177 and 15176 is associative
LCM of 15176 and 15177 = LCM of 15177 and 15176
1. What is the LCM of 15176 and 15177?
Answer: LCM of 15176 and 15177 is 230326152.
2. What are the Factors of 15176?
Answer: Factors of 15176 are 1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588, 15176. There are 16 integers that are factors of 15176. The greatest factor of 15176 is 15176.
3. What are the Factors of 15177?
Answer: Factors of 15177 are 1, 3, 5059, 15177. There are 4 integers that are factors of 15177. The greatest factor of 15177 is 15177.
4. How to Find the LCM of 15176 and 15177?
Answer:
Least Common Multiple of 15176 and 15177 = 230326152
Step 1: Find the prime factorization of 15176
15176 = 2 x 2 x 2 x 7 x 271
Step 2: Find the prime factorization of 15177
15177 = 3 x 5059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230326152 = 2 x 2 x 2 x 3 x 7 x 271 x 5059
Step 4: Therefore, the least common multiple of 15176 and 15177 is 230326152.