Least Common Multiple of 7529 and 7533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7529 and 7533 the smallest integer that is 56715957 that is divisible by both numbers.

Least Common Multiple (LCM) of 7529 and 7533 is 56715957.

LCM(7529,7533) = 56715957

LCM of 7529 and 7533

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

LCM of:
and

Least Common Multiple of 7529 and 7533

LCM of 7529 and 7533 is 56715957

Least common multiple can be found by multiplying the highest exponent prime factors of 7529 and 7533. First we will calculate the prime factors of 7529 and 7533.

Prime Factorization of 7529


7529 7529
1

Prime factors of 7529 are 7529. Prime factorization of 7529 in exponential form is:

7529 = 75291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7529 and 7533.

LCM(7529,7533) = 35×311×75291
LCM(7529,7533) = 56715957

Factors of 7529

List of positive integer factors of 7529 that divides 7529 without a remainder.

1, 7529

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

Least Common Multiple of 7529 and 7533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7529 and 7533, than apply into the LCM equation.

GCF(7529,7533) = 1
LCM(7529,7533) = ( 7529 × 7533) / 1
LCM(7529,7533) = 56715957 / 1
LCM(7529,7533) = 56715957

Properties of LCM 7529 and 7533

(i) The LCM of 7533 and 7529 is associative

LCM of 7529 and 7533 = LCM of 7533 and 7529

Related Least Common Multiples of 7529

Related Least Common Multiples of 7533

Frequently Asked Questions on LCM of 7529 and 7533

1. What is the LCM of 7529 and 7533?

Answer: LCM of 7529 and 7533 is 56715957.

2. What are the Factors of 7529?

Answer: Factors of 7529 are 1, 7529. There are 2 integers that are factors of 7529. The greatest factor of 7529 is 7529.

3. 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.

4. How to Find the LCM of 7529 and 7533?

Answer:

Least Common Multiple of 7529 and 7533 = 56715957

Step 1: Find the prime factorization of 7529

7529 = 7529

Step 2: Find the prime factorization of 7533

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

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

LCM = 56715957 = 3 x 3 x 3 x 3 x 3 x 31 x 7529

Step 4: Therefore, the least common multiple of 7529 and 7533 is 56715957.