Least Common Multiple of 7540 and 7545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7540 and 7545 the smallest integer that is 11377860 that is divisible by both numbers.

Least Common Multiple (LCM) of 7540 and 7545 is 11377860.

LCM(7540,7545) = 11377860

LCM of 7540 and 7545

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

LCM of:
and

Least Common Multiple of 7540 and 7545

LCM of 7540 and 7545 is 11377860

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7545. First we will calculate the prime factors of 7540 and 7545.

Prime Factorization of 7540


2 7540
2 3770
5 1885
13 377
29 29
1

Prime factors of 7540 are 2, 5, 13,29. Prime factorization of 7540 in exponential form is:

7540 = 22×51×131×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7540 and 7545.

LCM(7540,7545) = 22×31×51×131×291×5031
LCM(7540,7545) = 11377860

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1, 3, 5, 15, 503, 1509, 2515, 7545

Least Common Multiple of 7540 and 7545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7540 and 7545, than apply into the LCM equation.

GCF(7540,7545) = 5
LCM(7540,7545) = ( 7540 × 7545) / 5
LCM(7540,7545) = 56889300 / 5
LCM(7540,7545) = 11377860

Properties of LCM 7540 and 7545

(i) The LCM of 7545 and 7540 is associative

LCM of 7540 and 7545 = LCM of 7545 and 7540

Related Least Common Multiples of 7540

Related Least Common Multiples of 7545

Frequently Asked Questions on LCM of 7540 and 7545

1. What is the LCM of 7540 and 7545?

Answer: LCM of 7540 and 7545 is 11377860.

2. What are the Factors of 7540?

Answer: Factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540. There are 24 integers that are factors of 7540. The greatest factor of 7540 is 7540.

3. 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.

4. How to Find the LCM of 7540 and 7545?

Answer:

Least Common Multiple of 7540 and 7545 = 11377860

Step 1: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 7545

7545 = 3 x 5 x 503

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

LCM = 11377860 = 2 x 2 x 3 x 5 x 13 x 29 x 503

Step 4: Therefore, the least common multiple of 7540 and 7545 is 11377860.