Least Common Multiple of 524 and 525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 524 and 525 the smallest integer that is 275100 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 525 is 275100.

LCM(524,525) = 275100

LCM of 524 and 525

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

LCM of:
and

Least Common Multiple of 524 and 525

LCM of 524 and 525 is 275100

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 525. First we will calculate the prime factors of 524 and 525.

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 525.

LCM(524,525) = 22×31×52×71×1311
LCM(524,525) = 275100

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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

Least Common Multiple of 524 and 525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 525, than apply into the LCM equation.

GCF(524,525) = 1
LCM(524,525) = ( 524 × 525) / 1
LCM(524,525) = 275100 / 1
LCM(524,525) = 275100

Properties of LCM 524 and 525

(i) The LCM of 525 and 524 is associative

LCM of 524 and 525 = LCM of 525 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 525

Frequently Asked Questions on LCM of 524 and 525

1. What is the LCM of 524 and 525?

Answer: LCM of 524 and 525 is 275100.

2. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

3. 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.

4. How to Find the LCM of 524 and 525?

Answer:

Least Common Multiple of 524 and 525 = 275100

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

Step 2: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

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

LCM = 275100 = 2 x 2 x 3 x 5 x 5 x 7 x 131

Step 4: Therefore, the least common multiple of 524 and 525 is 275100.