Least Common Multiple of 1509 and 1517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1509 and 1517 the smallest integer that is 2289153 that is divisible by both numbers.

Least Common Multiple (LCM) of 1509 and 1517 is 2289153.

LCM(1509,1517) = 2289153

LCM of 1509 and 1517

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

LCM of:
and

Least Common Multiple of 1509 and 1517

LCM of 1509 and 1517 is 2289153

Least common multiple can be found by multiplying the highest exponent prime factors of 1509 and 1517. First we will calculate the prime factors of 1509 and 1517.

Prime Factorization of 1509


3 1509
503 503
1

Prime factors of 1509 are 3,503. Prime factorization of 1509 in exponential form is:

1509 = 31×5031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1509 and 1517.

LCM(1509,1517) = 31×371×411×5031
LCM(1509,1517) = 2289153

Factors of 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1, 3, 503, 1509

Factors of 1517

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

1, 37, 41, 1517

Least Common Multiple of 1509 and 1517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1509 and 1517, than apply into the LCM equation.

GCF(1509,1517) = 1
LCM(1509,1517) = ( 1509 × 1517) / 1
LCM(1509,1517) = 2289153 / 1
LCM(1509,1517) = 2289153

Properties of LCM 1509 and 1517

(i) The LCM of 1517 and 1509 is associative

LCM of 1509 and 1517 = LCM of 1517 and 1509

Related Least Common Multiples of 1509

Related Least Common Multiples of 1517

Frequently Asked Questions on LCM of 1509 and 1517

1. What is the LCM of 1509 and 1517?

Answer: LCM of 1509 and 1517 is 2289153.

2. What are the Factors of 1509?

Answer: Factors of 1509 are 1, 3, 503, 1509. There are 4 integers that are factors of 1509. The greatest factor of 1509 is 1509.

3. 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.

4. How to Find the LCM of 1509 and 1517?

Answer:

Least Common Multiple of 1509 and 1517 = 2289153

Step 1: Find the prime factorization of 1509

1509 = 3 x 503

Step 2: Find the prime factorization of 1517

1517 = 37 x 41

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

LCM = 2289153 = 3 x 37 x 41 x 503

Step 4: Therefore, the least common multiple of 1509 and 1517 is 2289153.