Least Common Multiple of 523 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 523 and 525 the smallest integer that is 274575 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 525 is 274575.

LCM(523,525) = 274575

LCM of 523 and 525

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

LCM of:
and

Least Common Multiple of 523 and 525

LCM of 523 and 525 is 274575

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 525. First we will calculate the prime factors of 523 and 525.

Prime Factorization of 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

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 523 and 525.

LCM(523,525) = 31×52×71×5231
LCM(523,525) = 274575

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

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 523 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 523 and 525, than apply into the LCM equation.

GCF(523,525) = 1
LCM(523,525) = ( 523 × 525) / 1
LCM(523,525) = 274575 / 1
LCM(523,525) = 274575

Properties of LCM 523 and 525

(i) The LCM of 525 and 523 is associative

LCM of 523 and 525 = LCM of 525 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 525

Frequently Asked Questions on LCM of 523 and 525

1. What is the LCM of 523 and 525?

Answer: LCM of 523 and 525 is 274575.

2. What are the Factors of 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

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 523 and 525?

Answer:

Least Common Multiple of 523 and 525 = 274575

Step 1: Find the prime factorization of 523

523 = 523

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 = 274575 = 3 x 5 x 5 x 7 x 523

Step 4: Therefore, the least common multiple of 523 and 525 is 274575.