Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9530 and 9538 the smallest integer that is 45448570 that is divisible by both numbers.
Least Common Multiple (LCM) of 9530 and 9538 is 45448570.
LCM(9530,9538) = 45448570
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 9530 and 9538. First we will calculate the prime factors of 9530 and 9538.
Prime Factorization of 9530
2 | 9530 |
5 | 4765 |
953 | 953 |
1 |
Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:
9530 = 21×51×9531
Prime Factorization of 9538
2 | 9538 |
19 | 4769 |
251 | 251 |
1 |
Prime factors of 9538 are 2, 19,251. Prime factorization of 9538 in exponential form is:
9538 = 21×191×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 9530 and 9538.
LCM(9530,9538) = 21×51×191×2511×9531
LCM(9530,9538) = 45448570
Factors of 9530
List of positive integer factors of 9530 that divides 9530 without a remainder.
1, 2, 5, 10, 953, 1906, 4765, 9530
Factors of 9538
List of positive integer factors of 9538 that divides 9538 without a remainder.
1, 2, 19, 38, 251, 502, 4769, 9538
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9530 and 9538, than apply into the LCM equation.
GCF(9530,9538) = 2
LCM(9530,9538) = ( 9530 × 9538) / 2
LCM(9530,9538) = 90897140 / 2
LCM(9530,9538) = 45448570
(i) The LCM of 9538 and 9530 is associative
LCM of 9530 and 9538 = LCM of 9538 and 9530
1. What is the LCM of 9530 and 9538?
Answer: LCM of 9530 and 9538 is 45448570.
2. What are the Factors of 9530?
Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.
3. What are the Factors of 9538?
Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.
4. How to Find the LCM of 9530 and 9538?
Answer:
Least Common Multiple of 9530 and 9538 = 45448570
Step 1: Find the prime factorization of 9530
9530 = 2 x 5 x 953
Step 2: Find the prime factorization of 9538
9538 = 2 x 19 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45448570 = 2 x 5 x 19 x 251 x 953
Step 4: Therefore, the least common multiple of 9530 and 9538 is 45448570.