Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4545 and 4551 the smallest integer that is 6894765 that is divisible by both numbers.
Least Common Multiple (LCM) of 4545 and 4551 is 6894765.
LCM(4545,4551) = 6894765
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 4545 and 4551. First we will calculate the prime factors of 4545 and 4551.
Prime Factorization of 4545
3 | 4545 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:
4545 = 32×51×1011
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 4545 and 4551.
LCM(4545,4551) = 32×51×371×411×1011
LCM(4545,4551) = 6894765
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
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 4545 and 4551, than apply into the LCM equation.
GCF(4545,4551) = 3
LCM(4545,4551) = ( 4545 × 4551) / 3
LCM(4545,4551) = 20684295 / 3
LCM(4545,4551) = 6894765
(i) The LCM of 4551 and 4545 is associative
LCM of 4545 and 4551 = LCM of 4551 and 4545
1. What is the LCM of 4545 and 4551?
Answer: LCM of 4545 and 4551 is 6894765.
2. What are the Factors of 4545?
Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.
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 4545 and 4551?
Answer:
Least Common Multiple of 4545 and 4551 = 6894765
Step 1: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
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 = 6894765 = 3 x 3 x 5 x 37 x 41 x 101
Step 4: Therefore, the least common multiple of 4545 and 4551 is 6894765.