Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10052 and 10057 the smallest integer that is 101092964 that is divisible by both numbers.
Least Common Multiple (LCM) of 10052 and 10057 is 101092964.
LCM(10052,10057) = 101092964
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 10052 and 10057. First we will calculate the prime factors of 10052 and 10057.
Prime Factorization of 10052
2 | 10052 |
2 | 5026 |
7 | 2513 |
359 | 359 |
1 |
Prime factors of 10052 are 2, 7,359. Prime factorization of 10052 in exponential form is:
10052 = 22×71×3591
Prime Factorization of 10057
89 | 10057 |
113 | 113 |
1 |
Prime factors of 10057 are 89,113. Prime factorization of 10057 in exponential form is:
10057 = 891×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10057.
LCM(10052,10057) = 22×71×891×1131×3591
LCM(10052,10057) = 101092964
Factors of 10052
List of positive integer factors of 10052 that divides 10052 without a remainder.
1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052
Factors of 10057
List of positive integer factors of 10057 that divides 10057 without a remainder.
1, 89, 113, 10057
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10052 and 10057, than apply into the LCM equation.
GCF(10052,10057) = 1
LCM(10052,10057) = ( 10052 × 10057) / 1
LCM(10052,10057) = 101092964 / 1
LCM(10052,10057) = 101092964
(i) The LCM of 10057 and 10052 is associative
LCM of 10052 and 10057 = LCM of 10057 and 10052
1. What is the LCM of 10052 and 10057?
Answer: LCM of 10052 and 10057 is 101092964.
2. What are the Factors of 10052?
Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.
3. What are the Factors of 10057?
Answer: Factors of 10057 are 1, 89, 113, 10057. There are 4 integers that are factors of 10057. The greatest factor of 10057 is 10057.
4. How to Find the LCM of 10052 and 10057?
Answer:
Least Common Multiple of 10052 and 10057 = 101092964
Step 1: Find the prime factorization of 10052
10052 = 2 x 2 x 7 x 359
Step 2: Find the prime factorization of 10057
10057 = 89 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101092964 = 2 x 2 x 7 x 89 x 113 x 359
Step 4: Therefore, the least common multiple of 10052 and 10057 is 101092964.