Least Common Multiple of 1512 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 1512 and 1518 the smallest integer that is 382536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1518 is 382536.

LCM(1512,1518) = 382536

LCM of 1512 and 1518

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

LCM of:
and

Least Common Multiple of 1512 and 1518

LCM of 1512 and 1518 is 382536

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1518. First we will calculate the prime factors of 1512 and 1518.

Prime Factorization of 1512


2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 1512 are 2, 3,7. Prime factorization of 1512 in exponential form is:

1512 = 23×33×71

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 1512 and 1518.

LCM(1512,1518) = 23×33×71×111×231
LCM(1512,1518) = 382536

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512

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 1512 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 1512 and 1518, than apply into the LCM equation.

GCF(1512,1518) = 6
LCM(1512,1518) = ( 1512 × 1518) / 6
LCM(1512,1518) = 2295216 / 6
LCM(1512,1518) = 382536

Properties of LCM 1512 and 1518

(i) The LCM of 1518 and 1512 is associative

LCM of 1512 and 1518 = LCM of 1518 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1518

Frequently Asked Questions on LCM of 1512 and 1518

1. What is the LCM of 1512 and 1518?

Answer: LCM of 1512 and 1518 is 382536.

2. What are the Factors of 1512?

Answer: Factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. There are 32 integers that are factors of 1512. The greatest factor of 1512 is 1512.

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 1512 and 1518?

Answer:

Least Common Multiple of 1512 and 1518 = 382536

Step 1: Find the prime factorization of 1512

1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7

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 = 382536 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 1512 and 1518 is 382536.