Least Common Multiple of 7528 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 7528 and 7533 the smallest integer that is 56708424 that is divisible by both numbers.

Least Common Multiple (LCM) of 7528 and 7533 is 56708424.

LCM(7528,7533) = 56708424

LCM of 7528 and 7533

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

LCM of:
and

Least Common Multiple of 7528 and 7533

LCM of 7528 and 7533 is 56708424

Least common multiple can be found by multiplying the highest exponent prime factors of 7528 and 7533. First we will calculate the prime factors of 7528 and 7533.

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

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 7528 and 7533.

LCM(7528,7533) = 23×35×311×9411
LCM(7528,7533) = 56708424

Factors of 7528

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

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

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 7528 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 7528 and 7533, than apply into the LCM equation.

GCF(7528,7533) = 1
LCM(7528,7533) = ( 7528 × 7533) / 1
LCM(7528,7533) = 56708424 / 1
LCM(7528,7533) = 56708424

Properties of LCM 7528 and 7533

(i) The LCM of 7533 and 7528 is associative

LCM of 7528 and 7533 = LCM of 7533 and 7528

Related Least Common Multiples of 7528

Related Least Common Multiples of 7533

Frequently Asked Questions on LCM of 7528 and 7533

1. What is the LCM of 7528 and 7533?

Answer: LCM of 7528 and 7533 is 56708424.

2. 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.

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 7528 and 7533?

Answer:

Least Common Multiple of 7528 and 7533 = 56708424

Step 1: Find the prime factorization of 7528

7528 = 2 x 2 x 2 x 941

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 = 56708424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 31 x 941

Step 4: Therefore, the least common multiple of 7528 and 7533 is 56708424.