Least Common Multiple of 1512 and 1514

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 1514 the smallest integer that is 1144584 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1514 is 1144584.

LCM(1512,1514) = 1144584

LCM of 1512 and 1514

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

LCM of:
and

Least Common Multiple of 1512 and 1514

LCM of 1512 and 1514 is 1144584

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1514. First we will calculate the prime factors of 1512 and 1514.

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 1514


2 1514
757 757
1

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

1514 = 21×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1514.

LCM(1512,1514) = 23×33×71×7571
LCM(1512,1514) = 1144584

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 1514

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

1, 2, 757, 1514

Least Common Multiple of 1512 and 1514 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 1514, than apply into the LCM equation.

GCF(1512,1514) = 2
LCM(1512,1514) = ( 1512 × 1514) / 2
LCM(1512,1514) = 2289168 / 2
LCM(1512,1514) = 1144584

Properties of LCM 1512 and 1514

(i) The LCM of 1514 and 1512 is associative

LCM of 1512 and 1514 = LCM of 1514 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1514

Frequently Asked Questions on LCM of 1512 and 1514

1. What is the LCM of 1512 and 1514?

Answer: LCM of 1512 and 1514 is 1144584.

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 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.

4. How to Find the LCM of 1512 and 1514?

Answer:

Least Common Multiple of 1512 and 1514 = 1144584

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 1514

1514 = 2 x 757

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

LCM = 1144584 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 757

Step 4: Therefore, the least common multiple of 1512 and 1514 is 1144584.