Least Common Multiple of 7545 and 7550

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 7550 the smallest integer that is 11392950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7545 and 7550 is 11392950.

LCM(7545,7550) = 11392950

LCM of 7545 and 7550

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

LCM of:
and

Least Common Multiple of 7545 and 7550

LCM of 7545 and 7550 is 11392950

Least common multiple can be found by multiplying the highest exponent prime factors of 7545 and 7550. First we will calculate the prime factors of 7545 and 7550.

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 7550


2 7550
5 3775
5 755
151 151
1

Prime factors of 7550 are 2, 5,151. Prime factorization of 7550 in exponential form is:

7550 = 21×52×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7545 and 7550.

LCM(7545,7550) = 21×31×52×1511×5031
LCM(7545,7550) = 11392950

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 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550

Least Common Multiple of 7545 and 7550 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 7550, than apply into the LCM equation.

GCF(7545,7550) = 5
LCM(7545,7550) = ( 7545 × 7550) / 5
LCM(7545,7550) = 56964750 / 5
LCM(7545,7550) = 11392950

Properties of LCM 7545 and 7550

(i) The LCM of 7550 and 7545 is associative

LCM of 7545 and 7550 = LCM of 7550 and 7545

Related Least Common Multiples of 7545

Related Least Common Multiples of 7550

Frequently Asked Questions on LCM of 7545 and 7550

1. What is the LCM of 7545 and 7550?

Answer: LCM of 7545 and 7550 is 11392950.

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 7550?

Answer: Factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550. There are 12 integers that are factors of 7550. The greatest factor of 7550 is 7550.

4. How to Find the LCM of 7545 and 7550?

Answer:

Least Common Multiple of 7545 and 7550 = 11392950

Step 1: Find the prime factorization of 7545

7545 = 3 x 5 x 503

Step 2: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

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

LCM = 11392950 = 2 x 3 x 5 x 5 x 151 x 503

Step 4: Therefore, the least common multiple of 7545 and 7550 is 11392950.