Least Common Multiple of 7545 and 7551

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 7551 the smallest integer that is 18990765 that is divisible by both numbers.

Least Common Multiple (LCM) of 7545 and 7551 is 18990765.

LCM(7545,7551) = 18990765

LCM of 7545 and 7551

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7545 and 7551

LCM of 7545 and 7551 is 18990765

Least common multiple can be found by multiplying the highest exponent prime factors of 7545 and 7551. First we will calculate the prime factors of 7545 and 7551.

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 7551


3 7551
3 2517
839 839
1

Prime factors of 7551 are 3,839. Prime factorization of 7551 in exponential form is:

7551 = 32×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 7545 and 7551.

LCM(7545,7551) = 32×51×5031×8391
LCM(7545,7551) = 18990765

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 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1, 3, 9, 839, 2517, 7551

Least Common Multiple of 7545 and 7551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7545 and 7551, than apply into the LCM equation.

GCF(7545,7551) = 3
LCM(7545,7551) = ( 7545 × 7551) / 3
LCM(7545,7551) = 56972295 / 3
LCM(7545,7551) = 18990765

Properties of LCM 7545 and 7551

(i) The LCM of 7551 and 7545 is associative

LCM of 7545 and 7551 = LCM of 7551 and 7545

Related Least Common Multiples of 7545

Related Least Common Multiples of 7551

Frequently Asked Questions on LCM of 7545 and 7551

1. What is the LCM of 7545 and 7551?

Answer: LCM of 7545 and 7551 is 18990765.

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 7551?

Answer: Factors of 7551 are 1, 3, 9, 839, 2517, 7551. There are 6 integers that are factors of 7551. The greatest factor of 7551 is 7551.

4. How to Find the LCM of 7545 and 7551?

Answer:

Least Common Multiple of 7545 and 7551 = 18990765

Step 1: Find the prime factorization of 7545

7545 = 3 x 5 x 503

Step 2: Find the prime factorization of 7551

7551 = 3 x 3 x 839

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18990765 = 3 x 3 x 5 x 503 x 839

Step 4: Therefore, the least common multiple of 7545 and 7551 is 18990765.