Least Common Multiple of 1511 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 1511 and 1517 the smallest integer that is 2292187 that is divisible by both numbers.

Least Common Multiple (LCM) of 1511 and 1517 is 2292187.

LCM(1511,1517) = 2292187

LCM of 1511 and 1517

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

LCM of:
and

Least Common Multiple of 1511 and 1517

LCM of 1511 and 1517 is 2292187

Least common multiple can be found by multiplying the highest exponent prime factors of 1511 and 1517. First we will calculate the prime factors of 1511 and 1517.

Prime Factorization of 1511


1511 1511
1

Prime factors of 1511 are 1511. Prime factorization of 1511 in exponential form is:

1511 = 15111

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 1511 and 1517.

LCM(1511,1517) = 371×411×15111
LCM(1511,1517) = 2292187

Factors of 1511

List of positive integer factors of 1511 that divides 1511 without a remainder.

1, 1511

Factors of 1517

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

1, 37, 41, 1517

Least Common Multiple of 1511 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 1511 and 1517, than apply into the LCM equation.

GCF(1511,1517) = 1
LCM(1511,1517) = ( 1511 × 1517) / 1
LCM(1511,1517) = 2292187 / 1
LCM(1511,1517) = 2292187

Properties of LCM 1511 and 1517

(i) The LCM of 1517 and 1511 is associative

LCM of 1511 and 1517 = LCM of 1517 and 1511

Related Least Common Multiples of 1511

Related Least Common Multiples of 1517

Frequently Asked Questions on LCM of 1511 and 1517

1. What is the LCM of 1511 and 1517?

Answer: LCM of 1511 and 1517 is 2292187.

2. What are the Factors of 1511?

Answer: Factors of 1511 are 1, 1511. There are 2 integers that are factors of 1511. The greatest factor of 1511 is 1511.

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 1511 and 1517?

Answer:

Least Common Multiple of 1511 and 1517 = 2292187

Step 1: Find the prime factorization of 1511

1511 = 1511

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 = 2292187 = 37 x 41 x 1511

Step 4: Therefore, the least common multiple of 1511 and 1517 is 2292187.