Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10040 and 10044 the smallest integer that is 25210440 that is divisible by both numbers.
Least Common Multiple (LCM) of 10040 and 10044 is 25210440.
LCM(10040,10044) = 25210440
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 10040 and 10044. First we will calculate the prime factors of 10040 and 10044.
Prime Factorization of 10040
2 | 10040 |
2 | 5020 |
2 | 2510 |
5 | 1255 |
251 | 251 |
1 |
Prime factors of 10040 are 2, 5,251. Prime factorization of 10040 in exponential form is:
10040 = 23×51×2511
Prime Factorization of 10044
2 | 10044 |
2 | 5022 |
3 | 2511 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 10044 are 2, 3,31. Prime factorization of 10044 in exponential form is:
10044 = 22×34×311
Now multiplying the highest exponent prime factors to calculate the LCM of 10040 and 10044.
LCM(10040,10044) = 23×34×51×311×2511
LCM(10040,10044) = 25210440
Factors of 10040
List of positive integer factors of 10040 that divides 10040 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040
Factors of 10044
List of positive integer factors of 10044 that divides 10044 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10040 and 10044, than apply into the LCM equation.
GCF(10040,10044) = 4
LCM(10040,10044) = ( 10040 × 10044) / 4
LCM(10040,10044) = 100841760 / 4
LCM(10040,10044) = 25210440
(i) The LCM of 10044 and 10040 is associative
LCM of 10040 and 10044 = LCM of 10044 and 10040
1. What is the LCM of 10040 and 10044?
Answer: LCM of 10040 and 10044 is 25210440.
2. What are the Factors of 10040?
Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.
3. What are the Factors of 10044?
Answer: Factors of 10044 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044. There are 30 integers that are factors of 10044. The greatest factor of 10044 is 10044.
4. How to Find the LCM of 10040 and 10044?
Answer:
Least Common Multiple of 10040 and 10044 = 25210440
Step 1: Find the prime factorization of 10040
10040 = 2 x 2 x 2 x 5 x 251
Step 2: Find the prime factorization of 10044
10044 = 2 x 2 x 3 x 3 x 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25210440 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 31 x 251
Step 4: Therefore, the least common multiple of 10040 and 10044 is 25210440.