Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9544 and 9549 the smallest integer that is 91135656 that is divisible by both numbers.
Least Common Multiple (LCM) of 9544 and 9549 is 91135656.
LCM(9544,9549) = 91135656
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 9544 and 9549. First we will calculate the prime factors of 9544 and 9549.
Prime Factorization of 9544
2 | 9544 |
2 | 4772 |
2 | 2386 |
1193 | 1193 |
1 |
Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:
9544 = 23×11931
Prime Factorization of 9549
3 | 9549 |
3 | 3183 |
1061 | 1061 |
1 |
Prime factors of 9549 are 3,1061. Prime factorization of 9549 in exponential form is:
9549 = 32×10611
Now multiplying the highest exponent prime factors to calculate the LCM of 9544 and 9549.
LCM(9544,9549) = 23×32×10611×11931
LCM(9544,9549) = 91135656
Factors of 9544
List of positive integer factors of 9544 that divides 9544 without a remainder.
1, 2, 4, 8, 1193, 2386, 4772, 9544
Factors of 9549
List of positive integer factors of 9549 that divides 9549 without a remainder.
1, 3, 9, 1061, 3183, 9549
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9544 and 9549, than apply into the LCM equation.
GCF(9544,9549) = 1
LCM(9544,9549) = ( 9544 × 9549) / 1
LCM(9544,9549) = 91135656 / 1
LCM(9544,9549) = 91135656
(i) The LCM of 9549 and 9544 is associative
LCM of 9544 and 9549 = LCM of 9549 and 9544
1. What is the LCM of 9544 and 9549?
Answer: LCM of 9544 and 9549 is 91135656.
2. What are the Factors of 9544?
Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.
3. What are the Factors of 9549?
Answer: Factors of 9549 are 1, 3, 9, 1061, 3183, 9549. There are 6 integers that are factors of 9549. The greatest factor of 9549 is 9549.
4. How to Find the LCM of 9544 and 9549?
Answer:
Least Common Multiple of 9544 and 9549 = 91135656
Step 1: Find the prime factorization of 9544
9544 = 2 x 2 x 2 x 1193
Step 2: Find the prime factorization of 9549
9549 = 3 x 3 x 1061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91135656 = 2 x 2 x 2 x 3 x 3 x 1061 x 1193
Step 4: Therefore, the least common multiple of 9544 and 9549 is 91135656.