Least Common Multiple of 1516 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 1516 and 1518 the smallest integer that is 1150644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1516 and 1518 is 1150644.

LCM(1516,1518) = 1150644

LCM of 1516 and 1518

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

LCM of:
and

Least Common Multiple of 1516 and 1518

LCM of 1516 and 1518 is 1150644

Least common multiple can be found by multiplying the highest exponent prime factors of 1516 and 1518. First we will calculate the prime factors of 1516 and 1518.

Prime Factorization of 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

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 1516 and 1518.

LCM(1516,1518) = 22×31×111×231×3791
LCM(1516,1518) = 1150644

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1, 2, 4, 379, 758, 1516

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 1516 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 1516 and 1518, than apply into the LCM equation.

GCF(1516,1518) = 2
LCM(1516,1518) = ( 1516 × 1518) / 2
LCM(1516,1518) = 2301288 / 2
LCM(1516,1518) = 1150644

Properties of LCM 1516 and 1518

(i) The LCM of 1518 and 1516 is associative

LCM of 1516 and 1518 = LCM of 1518 and 1516

Related Least Common Multiples of 1516

Related Least Common Multiples of 1518

Frequently Asked Questions on LCM of 1516 and 1518

1. What is the LCM of 1516 and 1518?

Answer: LCM of 1516 and 1518 is 1150644.

2. What are the Factors of 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

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 1516 and 1518?

Answer:

Least Common Multiple of 1516 and 1518 = 1150644

Step 1: Find the prime factorization of 1516

1516 = 2 x 2 x 379

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 = 1150644 = 2 x 2 x 3 x 11 x 23 x 379

Step 4: Therefore, the least common multiple of 1516 and 1518 is 1150644.