Least Common Multiple of 1517 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 1517 and 1525 the smallest integer that is 2313425 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1525 is 2313425.

LCM(1517,1525) = 2313425

LCM of 1517 and 1525

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

LCM of:
and

Least Common Multiple of 1517 and 1525

LCM of 1517 and 1525 is 2313425

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1525. First we will calculate the prime factors of 1517 and 1525.

Prime Factorization of 1517


37 1517
41 41
1

Prime factors of 1517 are 37,41. Prime factorization of 1517 in exponential form is:

1517 = 371×411

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 1517 and 1525.

LCM(1517,1525) = 52×371×411×611
LCM(1517,1525) = 2313425

Factors of 1517

List of positive integer factors of 1517 that divides 1517 without a remainder.

1, 37, 41, 1517

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 1517 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 1517 and 1525, than apply into the LCM equation.

GCF(1517,1525) = 1
LCM(1517,1525) = ( 1517 × 1525) / 1
LCM(1517,1525) = 2313425 / 1
LCM(1517,1525) = 2313425

Properties of LCM 1517 and 1525

(i) The LCM of 1525 and 1517 is associative

LCM of 1517 and 1525 = LCM of 1525 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1525

Frequently Asked Questions on LCM of 1517 and 1525

1. What is the LCM of 1517 and 1525?

Answer: LCM of 1517 and 1525 is 2313425.

2. What are the Factors of 1517?

Answer: Factors of 1517 are 1, 37, 41, 1517. There are 4 integers that are factors of 1517. The greatest factor of 1517 is 1517.

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 1517 and 1525?

Answer:

Least Common Multiple of 1517 and 1525 = 2313425

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

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 = 2313425 = 5 x 5 x 37 x 41 x 61

Step 4: Therefore, the least common multiple of 1517 and 1525 is 2313425.