Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5012 and 5016 the smallest integer that is 6285048 that is divisible by both numbers.
Least Common Multiple (LCM) of 5012 and 5016 is 6285048.
LCM(5012,5016) = 6285048
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 5012 and 5016. First we will calculate the prime factors of 5012 and 5016.
Prime Factorization of 5012
2 | 5012 |
2 | 2506 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 5012 are 2, 7,179. Prime factorization of 5012 in exponential form is:
5012 = 22×71×1791
Prime Factorization of 5016
2 | 5016 |
2 | 2508 |
2 | 1254 |
3 | 627 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 5016 are 2, 3, 11,19. Prime factorization of 5016 in exponential form is:
5016 = 23×31×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5012 and 5016.
LCM(5012,5016) = 23×31×71×111×191×1791
LCM(5012,5016) = 6285048
Factors of 5012
List of positive integer factors of 5012 that divides 5012 without a remainder.
1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012
Factors of 5016
List of positive integer factors of 5016 that divides 5016 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5012 and 5016, than apply into the LCM equation.
GCF(5012,5016) = 4
LCM(5012,5016) = ( 5012 × 5016) / 4
LCM(5012,5016) = 25140192 / 4
LCM(5012,5016) = 6285048
(i) The LCM of 5016 and 5012 is associative
LCM of 5012 and 5016 = LCM of 5016 and 5012
1. What is the LCM of 5012 and 5016?
Answer: LCM of 5012 and 5016 is 6285048.
2. What are the Factors of 5012?
Answer: Factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012. There are 12 integers that are factors of 5012. The greatest factor of 5012 is 5012.
3. What are the Factors of 5016?
Answer: Factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016. There are 32 integers that are factors of 5016. The greatest factor of 5016 is 5016.
4. How to Find the LCM of 5012 and 5016?
Answer:
Least Common Multiple of 5012 and 5016 = 6285048
Step 1: Find the prime factorization of 5012
5012 = 2 x 2 x 7 x 179
Step 2: Find the prime factorization of 5016
5016 = 2 x 2 x 2 x 3 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6285048 = 2 x 2 x 2 x 3 x 7 x 11 x 19 x 179
Step 4: Therefore, the least common multiple of 5012 and 5016 is 6285048.