Least Common Multiple of 7533 and 7540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7533 and 7540 the smallest integer that is 56798820 that is divisible by both numbers.

Least Common Multiple (LCM) of 7533 and 7540 is 56798820.

LCM(7533,7540) = 56798820

LCM of 7533 and 7540

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

LCM of:
and

Least Common Multiple of 7533 and 7540

LCM of 7533 and 7540 is 56798820

Least common multiple can be found by multiplying the highest exponent prime factors of 7533 and 7540. First we will calculate the prime factors of 7533 and 7540.

Prime Factorization of 7533


3 7533
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 7533 are 3,31. Prime factorization of 7533 in exponential form is:

7533 = 35×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7533 and 7540.

LCM(7533,7540) = 22×35×51×131×291×311
LCM(7533,7540) = 56798820

Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533

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

Least Common Multiple of 7533 and 7540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7533 and 7540, than apply into the LCM equation.

GCF(7533,7540) = 1
LCM(7533,7540) = ( 7533 × 7540) / 1
LCM(7533,7540) = 56798820 / 1
LCM(7533,7540) = 56798820

Properties of LCM 7533 and 7540

(i) The LCM of 7540 and 7533 is associative

LCM of 7533 and 7540 = LCM of 7540 and 7533

Related Least Common Multiples of 7533

Related Least Common Multiples of 7540

Frequently Asked Questions on LCM of 7533 and 7540

1. What is the LCM of 7533 and 7540?

Answer: LCM of 7533 and 7540 is 56798820.

2. What are the Factors of 7533?

Answer: Factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533. There are 12 integers that are factors of 7533. The greatest factor of 7533 is 7533.

3. 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.

4. How to Find the LCM of 7533 and 7540?

Answer:

Least Common Multiple of 7533 and 7540 = 56798820

Step 1: Find the prime factorization of 7533

7533 = 3 x 3 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

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

LCM = 56798820 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 7533 and 7540 is 56798820.