Least Common Multiple of 7522 and 7529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7522 and 7529 the smallest integer that is 56633138 that is divisible by both numbers.

Least Common Multiple (LCM) of 7522 and 7529 is 56633138.

LCM(7522,7529) = 56633138

LCM of 7522 and 7529

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

LCM of:
and

Least Common Multiple of 7522 and 7529

LCM of 7522 and 7529 is 56633138

Least common multiple can be found by multiplying the highest exponent prime factors of 7522 and 7529. First we will calculate the prime factors of 7522 and 7529.

Prime Factorization of 7522


2 7522
3761 3761
1

Prime factors of 7522 are 2,3761. Prime factorization of 7522 in exponential form is:

7522 = 21×37611

Prime Factorization of 7529


7529 7529
1

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

7529 = 75291

Now multiplying the highest exponent prime factors to calculate the LCM of 7522 and 7529.

LCM(7522,7529) = 21×37611×75291
LCM(7522,7529) = 56633138

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1, 2, 3761, 7522

Factors of 7529

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

1, 7529

Least Common Multiple of 7522 and 7529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7522 and 7529, than apply into the LCM equation.

GCF(7522,7529) = 1
LCM(7522,7529) = ( 7522 × 7529) / 1
LCM(7522,7529) = 56633138 / 1
LCM(7522,7529) = 56633138

Properties of LCM 7522 and 7529

(i) The LCM of 7529 and 7522 is associative

LCM of 7522 and 7529 = LCM of 7529 and 7522

Related Least Common Multiples of 7522

Related Least Common Multiples of 7529

Frequently Asked Questions on LCM of 7522 and 7529

1. What is the LCM of 7522 and 7529?

Answer: LCM of 7522 and 7529 is 56633138.

2. What are the Factors of 7522?

Answer: Factors of 7522 are 1, 2, 3761, 7522. There are 4 integers that are factors of 7522. The greatest factor of 7522 is 7522.

3. 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.

4. How to Find the LCM of 7522 and 7529?

Answer:

Least Common Multiple of 7522 and 7529 = 56633138

Step 1: Find the prime factorization of 7522

7522 = 2 x 3761

Step 2: Find the prime factorization of 7529

7529 = 7529

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

LCM = 56633138 = 2 x 3761 x 7529

Step 4: Therefore, the least common multiple of 7522 and 7529 is 56633138.