Least Common Multiple of 1512 and 1513

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 1513 the smallest integer that is 2287656 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1513 is 2287656.

LCM(1512,1513) = 2287656

LCM of 1512 and 1513

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

LCM of:
and

Least Common Multiple of 1512 and 1513

LCM of 1512 and 1513 is 2287656

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1513. First we will calculate the prime factors of 1512 and 1513.

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 1513


17 1513
89 89
1

Prime factors of 1513 are 17,89. Prime factorization of 1513 in exponential form is:

1513 = 171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1513.

LCM(1512,1513) = 23×33×71×171×891
LCM(1512,1513) = 2287656

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 1513

List of positive integer factors of 1513 that divides 1513 without a remainder.

1, 17, 89, 1513

Least Common Multiple of 1512 and 1513 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 1513, than apply into the LCM equation.

GCF(1512,1513) = 1
LCM(1512,1513) = ( 1512 × 1513) / 1
LCM(1512,1513) = 2287656 / 1
LCM(1512,1513) = 2287656

Properties of LCM 1512 and 1513

(i) The LCM of 1513 and 1512 is associative

LCM of 1512 and 1513 = LCM of 1513 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1513

Frequently Asked Questions on LCM of 1512 and 1513

1. What is the LCM of 1512 and 1513?

Answer: LCM of 1512 and 1513 is 2287656.

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 1513?

Answer: Factors of 1513 are 1, 17, 89, 1513. There are 4 integers that are factors of 1513. The greatest factor of 1513 is 1513.

4. How to Find the LCM of 1512 and 1513?

Answer:

Least Common Multiple of 1512 and 1513 = 2287656

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 1513

1513 = 17 x 89

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

LCM = 2287656 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 1512 and 1513 is 2287656.