Least Common Multiple of 1517 and 1518

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 1518 the smallest integer that is 2302806 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1518 is 2302806.

LCM(1517,1518) = 2302806

LCM of 1517 and 1518

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

LCM of:
and

Least Common Multiple of 1517 and 1518

LCM of 1517 and 1518 is 2302806

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1518. First we will calculate the prime factors of 1517 and 1518.

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 1518


2 1518
3 759
11 253
23 23
1

Prime factors of 1518 are 2, 3, 11,23. Prime factorization of 1518 in exponential form is:

1518 = 21×31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1517 and 1518.

LCM(1517,1518) = 21×31×111×231×371×411
LCM(1517,1518) = 2302806

Factors of 1517

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

1, 37, 41, 1517

Factors of 1518

List of positive integer factors of 1518 that divides 1518 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518

Least Common Multiple of 1517 and 1518 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 1518, than apply into the LCM equation.

GCF(1517,1518) = 1
LCM(1517,1518) = ( 1517 × 1518) / 1
LCM(1517,1518) = 2302806 / 1
LCM(1517,1518) = 2302806

Properties of LCM 1517 and 1518

(i) The LCM of 1518 and 1517 is associative

LCM of 1517 and 1518 = LCM of 1518 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1518

Frequently Asked Questions on LCM of 1517 and 1518

1. What is the LCM of 1517 and 1518?

Answer: LCM of 1517 and 1518 is 2302806.

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 1518?

Answer: Factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518. There are 16 integers that are factors of 1518. The greatest factor of 1518 is 1518.

4. How to Find the LCM of 1517 and 1518?

Answer:

Least Common Multiple of 1517 and 1518 = 2302806

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

Step 2: Find the prime factorization of 1518

1518 = 2 x 3 x 11 x 23

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

LCM = 2302806 = 2 x 3 x 11 x 23 x 37 x 41

Step 4: Therefore, the least common multiple of 1517 and 1518 is 2302806.