Least Common Multiple of 7522 and 7528

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 7528 the smallest integer that is 28312808 that is divisible by both numbers.

Least Common Multiple (LCM) of 7522 and 7528 is 28312808.

LCM(7522,7528) = 28312808

LCM of 7522 and 7528

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

LCM of:
and

Least Common Multiple of 7522 and 7528

LCM of 7522 and 7528 is 28312808

Least common multiple can be found by multiplying the highest exponent prime factors of 7522 and 7528. First we will calculate the prime factors of 7522 and 7528.

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 7528


2 7528
2 3764
2 1882
941 941
1

Prime factors of 7528 are 2,941. Prime factorization of 7528 in exponential form is:

7528 = 23×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 7522 and 7528.

LCM(7522,7528) = 23×9411×37611
LCM(7522,7528) = 28312808

Factors of 7522

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

1, 2, 3761, 7522

Factors of 7528

List of positive integer factors of 7528 that divides 7528 without a remainder.

1, 2, 4, 8, 941, 1882, 3764, 7528

Least Common Multiple of 7522 and 7528 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 7528, than apply into the LCM equation.

GCF(7522,7528) = 2
LCM(7522,7528) = ( 7522 × 7528) / 2
LCM(7522,7528) = 56625616 / 2
LCM(7522,7528) = 28312808

Properties of LCM 7522 and 7528

(i) The LCM of 7528 and 7522 is associative

LCM of 7522 and 7528 = LCM of 7528 and 7522

Related Least Common Multiples of 7522

Related Least Common Multiples of 7528

Frequently Asked Questions on LCM of 7522 and 7528

1. What is the LCM of 7522 and 7528?

Answer: LCM of 7522 and 7528 is 28312808.

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 7528?

Answer: Factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528. There are 8 integers that are factors of 7528. The greatest factor of 7528 is 7528.

4. How to Find the LCM of 7522 and 7528?

Answer:

Least Common Multiple of 7522 and 7528 = 28312808

Step 1: Find the prime factorization of 7522

7522 = 2 x 3761

Step 2: Find the prime factorization of 7528

7528 = 2 x 2 x 2 x 941

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

LCM = 28312808 = 2 x 2 x 2 x 941 x 3761

Step 4: Therefore, the least common multiple of 7522 and 7528 is 28312808.