Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4548 and 4551 the smallest integer that is 6899316 that is divisible by both numbers.
Least Common Multiple (LCM) of 4548 and 4551 is 6899316.
LCM(4548,4551) = 6899316
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 4548 and 4551. First we will calculate the prime factors of 4548 and 4551.
Prime Factorization of 4548
2 | 4548 |
2 | 2274 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 4548 are 2, 3,379. Prime factorization of 4548 in exponential form is:
4548 = 22×31×3791
Prime Factorization of 4551
3 | 4551 |
37 | 1517 |
41 | 41 |
1 |
Prime factors of 4551 are 3, 37,41. Prime factorization of 4551 in exponential form is:
4551 = 31×371×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4548 and 4551.
LCM(4548,4551) = 22×31×371×411×3791
LCM(4548,4551) = 6899316
Factors of 4548
List of positive integer factors of 4548 that divides 4548 without a remainder.
1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548
Factors of 4551
List of positive integer factors of 4551 that divides 4551 without a remainder.
1, 3, 37, 41, 111, 123, 1517, 4551
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4548 and 4551, than apply into the LCM equation.
GCF(4548,4551) = 3
LCM(4548,4551) = ( 4548 × 4551) / 3
LCM(4548,4551) = 20697948 / 3
LCM(4548,4551) = 6899316
(i) The LCM of 4551 and 4548 is associative
LCM of 4548 and 4551 = LCM of 4551 and 4548
1. What is the LCM of 4548 and 4551?
Answer: LCM of 4548 and 4551 is 6899316.
2. What are the Factors of 4548?
Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.
3. What are the Factors of 4551?
Answer: Factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551. There are 8 integers that are factors of 4551. The greatest factor of 4551 is 4551.
4. How to Find the LCM of 4548 and 4551?
Answer:
Least Common Multiple of 4548 and 4551 = 6899316
Step 1: Find the prime factorization of 4548
4548 = 2 x 2 x 3 x 379
Step 2: Find the prime factorization of 4551
4551 = 3 x 37 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6899316 = 2 x 2 x 3 x 37 x 41 x 379
Step 4: Therefore, the least common multiple of 4548 and 4551 is 6899316.