Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7545 and 7549 the smallest integer that is 56957205 that is divisible by both numbers.
Least Common Multiple (LCM) of 7545 and 7549 is 56957205.
LCM(7545,7549) = 56957205
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 7545 and 7549. First we will calculate the prime factors of 7545 and 7549.
Prime Factorization of 7545
3 | 7545 |
5 | 2515 |
503 | 503 |
1 |
Prime factors of 7545 are 3, 5,503. Prime factorization of 7545 in exponential form is:
7545 = 31×51×5031
Prime Factorization of 7549
7549 | 7549 |
1 |
Prime factors of 7549 are 7549. Prime factorization of 7549 in exponential form is:
7549 = 75491
Now multiplying the highest exponent prime factors to calculate the LCM of 7545 and 7549.
LCM(7545,7549) = 31×51×5031×75491
LCM(7545,7549) = 56957205
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1, 3, 5, 15, 503, 1509, 2515, 7545
Factors of 7549
List of positive integer factors of 7549 that divides 7549 without a remainder.
1, 7549
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7545 and 7549, than apply into the LCM equation.
GCF(7545,7549) = 1
LCM(7545,7549) = ( 7545 × 7549) / 1
LCM(7545,7549) = 56957205 / 1
LCM(7545,7549) = 56957205
(i) The LCM of 7549 and 7545 is associative
LCM of 7545 and 7549 = LCM of 7549 and 7545
1. What is the LCM of 7545 and 7549?
Answer: LCM of 7545 and 7549 is 56957205.
2. What are the Factors of 7545?
Answer: Factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545. There are 8 integers that are factors of 7545. The greatest factor of 7545 is 7545.
3. What are the Factors of 7549?
Answer: Factors of 7549 are 1, 7549. There are 2 integers that are factors of 7549. The greatest factor of 7549 is 7549.
4. How to Find the LCM of 7545 and 7549?
Answer:
Least Common Multiple of 7545 and 7549 = 56957205
Step 1: Find the prime factorization of 7545
7545 = 3 x 5 x 503
Step 2: Find the prime factorization of 7549
7549 = 7549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56957205 = 3 x 5 x 503 x 7549
Step 4: Therefore, the least common multiple of 7545 and 7549 is 56957205.