Least Common Multiple of 525 and 528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 525 and 528 the smallest integer that is 92400 that is divisible by both numbers.

Least Common Multiple (LCM) of 525 and 528 is 92400.

LCM(525,528) = 92400

LCM of 525 and 528

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

LCM of:
and

Least Common Multiple of 525 and 528

LCM of 525 and 528 is 92400

Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 528. First we will calculate the prime factors of 525 and 528.

Prime Factorization of 525


3 525
5 175
5 35
7 7
1

Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:

525 = 31×52×71

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 525 and 528.

LCM(525,528) = 24×31×52×71×111
LCM(525,528) = 92400

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Least Common Multiple of 525 and 528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 525 and 528, than apply into the LCM equation.

GCF(525,528) = 3
LCM(525,528) = ( 525 × 528) / 3
LCM(525,528) = 277200 / 3
LCM(525,528) = 92400

Properties of LCM 525 and 528

(i) The LCM of 528 and 525 is associative

LCM of 525 and 528 = LCM of 528 and 525

Related Least Common Multiples of 525

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 525 and 528

1. What is the LCM of 525 and 528?

Answer: LCM of 525 and 528 is 92400.

2. What are the Factors of 525?

Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.

3. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

4. How to Find the LCM of 525 and 528?

Answer:

Least Common Multiple of 525 and 528 = 92400

Step 1: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 92400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 525 and 528 is 92400.