Least Common Multiple of 1523 and 1525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1523 and 1525 the smallest integer that is 2322575 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1525 is 2322575.

LCM(1523,1525) = 2322575

LCM of 1523 and 1525

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

LCM of:
and

Least Common Multiple of 1523 and 1525

LCM of 1523 and 1525 is 2322575

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1525. First we will calculate the prime factors of 1523 and 1525.

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

Prime Factorization of 1525


5 1525
5 305
61 61
1

Prime factors of 1525 are 5,61. Prime factorization of 1525 in exponential form is:

1525 = 52×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1525.

LCM(1523,1525) = 52×611×15231
LCM(1523,1525) = 2322575

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1, 1523

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1, 5, 25, 61, 305, 1525

Least Common Multiple of 1523 and 1525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1525, than apply into the LCM equation.

GCF(1523,1525) = 1
LCM(1523,1525) = ( 1523 × 1525) / 1
LCM(1523,1525) = 2322575 / 1
LCM(1523,1525) = 2322575

Properties of LCM 1523 and 1525

(i) The LCM of 1525 and 1523 is associative

LCM of 1523 and 1525 = LCM of 1525 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1525

Frequently Asked Questions on LCM of 1523 and 1525

1. What is the LCM of 1523 and 1525?

Answer: LCM of 1523 and 1525 is 2322575.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

3. What are the Factors of 1525?

Answer: Factors of 1525 are 1, 5, 25, 61, 305, 1525. There are 6 integers that are factors of 1525. The greatest factor of 1525 is 1525.

4. How to Find the LCM of 1523 and 1525?

Answer:

Least Common Multiple of 1523 and 1525 = 2322575

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1525

1525 = 5 x 5 x 61

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

LCM = 2322575 = 5 x 5 x 61 x 1523

Step 4: Therefore, the least common multiple of 1523 and 1525 is 2322575.