Least Common Multiple of 7533 and 7541

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 7541 the smallest integer that is 56806353 that is divisible by both numbers.

Least Common Multiple (LCM) of 7533 and 7541 is 56806353.

LCM(7533,7541) = 56806353

LCM of 7533 and 7541

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

LCM of:
and

Least Common Multiple of 7533 and 7541

LCM of 7533 and 7541 is 56806353

Least common multiple can be found by multiplying the highest exponent prime factors of 7533 and 7541. First we will calculate the prime factors of 7533 and 7541.

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 7541


7541 7541
1

Prime factors of 7541 are 7541. Prime factorization of 7541 in exponential form is:

7541 = 75411

Now multiplying the highest exponent prime factors to calculate the LCM of 7533 and 7541.

LCM(7533,7541) = 35×311×75411
LCM(7533,7541) = 56806353

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 7541

List of positive integer factors of 7541 that divides 7541 without a remainder.

1, 7541

Least Common Multiple of 7533 and 7541 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 7541, than apply into the LCM equation.

GCF(7533,7541) = 1
LCM(7533,7541) = ( 7533 × 7541) / 1
LCM(7533,7541) = 56806353 / 1
LCM(7533,7541) = 56806353

Properties of LCM 7533 and 7541

(i) The LCM of 7541 and 7533 is associative

LCM of 7533 and 7541 = LCM of 7541 and 7533

Related Least Common Multiples of 7533

Related Least Common Multiples of 7541

Frequently Asked Questions on LCM of 7533 and 7541

1. What is the LCM of 7533 and 7541?

Answer: LCM of 7533 and 7541 is 56806353.

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 7541?

Answer: Factors of 7541 are 1, 7541. There are 2 integers that are factors of 7541. The greatest factor of 7541 is 7541.

4. How to Find the LCM of 7533 and 7541?

Answer:

Least Common Multiple of 7533 and 7541 = 56806353

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 7541

7541 = 7541

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

LCM = 56806353 = 3 x 3 x 3 x 3 x 3 x 31 x 7541

Step 4: Therefore, the least common multiple of 7533 and 7541 is 56806353.