Least Common Multiple of 1514 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 1514 and 1518 the smallest integer that is 1149126 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1518 is 1149126.

LCM(1514,1518) = 1149126

LCM of 1514 and 1518

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

LCM of:
and

Least Common Multiple of 1514 and 1518

LCM of 1514 and 1518 is 1149126

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1518. First we will calculate the prime factors of 1514 and 1518.

Prime Factorization of 1514


2 1514
757 757
1

Prime factors of 1514 are 2,757. Prime factorization of 1514 in exponential form is:

1514 = 21×7571

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 1514 and 1518.

LCM(1514,1518) = 21×31×111×231×7571
LCM(1514,1518) = 1149126

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1, 2, 757, 1514

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 1514 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 1514 and 1518, than apply into the LCM equation.

GCF(1514,1518) = 2
LCM(1514,1518) = ( 1514 × 1518) / 2
LCM(1514,1518) = 2298252 / 2
LCM(1514,1518) = 1149126

Properties of LCM 1514 and 1518

(i) The LCM of 1518 and 1514 is associative

LCM of 1514 and 1518 = LCM of 1518 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1518

Frequently Asked Questions on LCM of 1514 and 1518

1. What is the LCM of 1514 and 1518?

Answer: LCM of 1514 and 1518 is 1149126.

2. What are the Factors of 1514?

Answer: Factors of 1514 are 1, 2, 757, 1514. There are 4 integers that are factors of 1514. The greatest factor of 1514 is 1514.

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 1514 and 1518?

Answer:

Least Common Multiple of 1514 and 1518 = 1149126

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

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 = 1149126 = 2 x 3 x 11 x 23 x 757

Step 4: Therefore, the least common multiple of 1514 and 1518 is 1149126.