Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8503 and 8508 the smallest integer that is 72343524 that is divisible by both numbers.
Least Common Multiple (LCM) of 8503 and 8508 is 72343524.
LCM(8503,8508) = 72343524
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 8503 and 8508. First we will calculate the prime factors of 8503 and 8508.
Prime Factorization of 8503
11 | 8503 |
773 | 773 |
1 |
Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:
8503 = 111×7731
Prime Factorization of 8508
2 | 8508 |
2 | 4254 |
3 | 2127 |
709 | 709 |
1 |
Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:
8508 = 22×31×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 8503 and 8508.
LCM(8503,8508) = 22×31×111×7091×7731
LCM(8503,8508) = 72343524
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1, 11, 773, 8503
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8503 and 8508, than apply into the LCM equation.
GCF(8503,8508) = 1
LCM(8503,8508) = ( 8503 × 8508) / 1
LCM(8503,8508) = 72343524 / 1
LCM(8503,8508) = 72343524
(i) The LCM of 8508 and 8503 is associative
LCM of 8503 and 8508 = LCM of 8508 and 8503
1. What is the LCM of 8503 and 8508?
Answer: LCM of 8503 and 8508 is 72343524.
2. What are the Factors of 8503?
Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.
3. What are the Factors of 8508?
Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.
4. How to Find the LCM of 8503 and 8508?
Answer:
Least Common Multiple of 8503 and 8508 = 72343524
Step 1: Find the prime factorization of 8503
8503 = 11 x 773
Step 2: Find the prime factorization of 8508
8508 = 2 x 2 x 3 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72343524 = 2 x 2 x 3 x 11 x 709 x 773
Step 4: Therefore, the least common multiple of 8503 and 8508 is 72343524.