Least Common Multiple of 1512 and 1516

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 1516 the smallest integer that is 573048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1516 is 573048.

LCM(1512,1516) = 573048

LCM of 1512 and 1516

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

LCM of:
and

Least Common Multiple of 1512 and 1516

LCM of 1512 and 1516 is 573048

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1516. First we will calculate the prime factors of 1512 and 1516.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1516.

LCM(1512,1516) = 23×33×71×3791
LCM(1512,1516) = 573048

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 1516

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

1, 2, 4, 379, 758, 1516

Least Common Multiple of 1512 and 1516 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 1516, than apply into the LCM equation.

GCF(1512,1516) = 4
LCM(1512,1516) = ( 1512 × 1516) / 4
LCM(1512,1516) = 2292192 / 4
LCM(1512,1516) = 573048

Properties of LCM 1512 and 1516

(i) The LCM of 1516 and 1512 is associative

LCM of 1512 and 1516 = LCM of 1516 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1516

Frequently Asked Questions on LCM of 1512 and 1516

1. What is the LCM of 1512 and 1516?

Answer: LCM of 1512 and 1516 is 573048.

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 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.

4. How to Find the LCM of 1512 and 1516?

Answer:

Least Common Multiple of 1512 and 1516 = 573048

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 1516

1516 = 2 x 2 x 379

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

LCM = 573048 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 379

Step 4: Therefore, the least common multiple of 1512 and 1516 is 573048.