Least Common Multiple of 1505 and 1512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1505 and 1512 the smallest integer that is 325080 that is divisible by both numbers.

Least Common Multiple (LCM) of 1505 and 1512 is 325080.

LCM(1505,1512) = 325080

LCM of 1505 and 1512

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

LCM of:
and

Least Common Multiple of 1505 and 1512

LCM of 1505 and 1512 is 325080

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1512. First we will calculate the prime factors of 1505 and 1512.

Prime Factorization of 1505


5 1505
7 301
43 43
1

Prime factors of 1505 are 5, 7,43. Prime factorization of 1505 in exponential form is:

1505 = 51×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1505 and 1512.

LCM(1505,1512) = 23×33×51×71×431
LCM(1505,1512) = 325080

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1, 5, 7, 35, 43, 215, 301, 1505

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

Least Common Multiple of 1505 and 1512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1505 and 1512, than apply into the LCM equation.

GCF(1505,1512) = 7
LCM(1505,1512) = ( 1505 × 1512) / 7
LCM(1505,1512) = 2275560 / 7
LCM(1505,1512) = 325080

Properties of LCM 1505 and 1512

(i) The LCM of 1512 and 1505 is associative

LCM of 1505 and 1512 = LCM of 1512 and 1505

Related Least Common Multiples of 1505

Related Least Common Multiples of 1512

Frequently Asked Questions on LCM of 1505 and 1512

1. What is the LCM of 1505 and 1512?

Answer: LCM of 1505 and 1512 is 325080.

2. What are the Factors of 1505?

Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.

3. 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.

4. How to Find the LCM of 1505 and 1512?

Answer:

Least Common Multiple of 1505 and 1512 = 325080

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1512

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

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

LCM = 325080 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 43

Step 4: Therefore, the least common multiple of 1505 and 1512 is 325080.