Least Common Multiple of 1512 and 1519

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 1519 the smallest integer that is 328104 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1519 is 328104.

LCM(1512,1519) = 328104

LCM of 1512 and 1519

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

LCM of:
and

Least Common Multiple of 1512 and 1519

LCM of 1512 and 1519 is 328104

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1519. First we will calculate the prime factors of 1512 and 1519.

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 1519


7 1519
7 217
31 31
1

Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:

1519 = 72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1519.

LCM(1512,1519) = 23×33×72×311
LCM(1512,1519) = 328104

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 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1, 7, 31, 49, 217, 1519

Least Common Multiple of 1512 and 1519 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 1519, than apply into the LCM equation.

GCF(1512,1519) = 7
LCM(1512,1519) = ( 1512 × 1519) / 7
LCM(1512,1519) = 2296728 / 7
LCM(1512,1519) = 328104

Properties of LCM 1512 and 1519

(i) The LCM of 1519 and 1512 is associative

LCM of 1512 and 1519 = LCM of 1519 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1519

Frequently Asked Questions on LCM of 1512 and 1519

1. What is the LCM of 1512 and 1519?

Answer: LCM of 1512 and 1519 is 328104.

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 1519?

Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.

4. How to Find the LCM of 1512 and 1519?

Answer:

Least Common Multiple of 1512 and 1519 = 328104

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 1519

1519 = 7 x 7 x 31

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

LCM = 328104 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 31

Step 4: Therefore, the least common multiple of 1512 and 1519 is 328104.