Least Common Multiple of 1517 and 1521

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 1521 the smallest integer that is 2307357 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1521 is 2307357.

LCM(1517,1521) = 2307357

LCM of 1517 and 1521

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

LCM of:
and

Least Common Multiple of 1517 and 1521

LCM of 1517 and 1521 is 2307357

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1521. First we will calculate the prime factors of 1517 and 1521.

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 1521


3 1521
3 507
13 169
13 13
1

Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:

1521 = 32×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1517 and 1521.

LCM(1517,1521) = 32×132×371×411
LCM(1517,1521) = 2307357

Factors of 1517

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

1, 37, 41, 1517

Factors of 1521

List of positive integer factors of 1521 that divides 1521 without a remainder.

1, 3, 9, 13, 39, 117, 169, 507, 1521

Least Common Multiple of 1517 and 1521 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 1521, than apply into the LCM equation.

GCF(1517,1521) = 1
LCM(1517,1521) = ( 1517 × 1521) / 1
LCM(1517,1521) = 2307357 / 1
LCM(1517,1521) = 2307357

Properties of LCM 1517 and 1521

(i) The LCM of 1521 and 1517 is associative

LCM of 1517 and 1521 = LCM of 1521 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1521

Frequently Asked Questions on LCM of 1517 and 1521

1. What is the LCM of 1517 and 1521?

Answer: LCM of 1517 and 1521 is 2307357.

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 1521?

Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.

4. How to Find the LCM of 1517 and 1521?

Answer:

Least Common Multiple of 1517 and 1521 = 2307357

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

Step 2: Find the prime factorization of 1521

1521 = 3 x 3 x 13 x 13

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

LCM = 2307357 = 3 x 3 x 13 x 13 x 37 x 41

Step 4: Therefore, the least common multiple of 1517 and 1521 is 2307357.