Least Common Multiple of 1504 and 1508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1504 and 1508 the smallest integer that is 567008 that is divisible by both numbers.

Least Common Multiple (LCM) of 1504 and 1508 is 567008.

LCM(1504,1508) = 567008

LCM of 1504 and 1508

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

LCM of:
and

Least Common Multiple of 1504 and 1508

LCM of 1504 and 1508 is 567008

Least common multiple can be found by multiplying the highest exponent prime factors of 1504 and 1508. First we will calculate the prime factors of 1504 and 1508.

Prime Factorization of 1504


2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:

1504 = 25×471

Prime Factorization of 1508


2 1508
2 754
13 377
29 29
1

Prime factors of 1508 are 2, 13,29. Prime factorization of 1508 in exponential form is:

1508 = 22×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1504 and 1508.

LCM(1504,1508) = 25×131×291×471
LCM(1504,1508) = 567008

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

Least Common Multiple of 1504 and 1508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1504 and 1508, than apply into the LCM equation.

GCF(1504,1508) = 4
LCM(1504,1508) = ( 1504 × 1508) / 4
LCM(1504,1508) = 2268032 / 4
LCM(1504,1508) = 567008

Properties of LCM 1504 and 1508

(i) The LCM of 1508 and 1504 is associative

LCM of 1504 and 1508 = LCM of 1508 and 1504

Related Least Common Multiples of 1504

Related Least Common Multiples of 1508

Frequently Asked Questions on LCM of 1504 and 1508

1. What is the LCM of 1504 and 1508?

Answer: LCM of 1504 and 1508 is 567008.

2. What are the Factors of 1504?

Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.

3. What are the Factors of 1508?

Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.

4. How to Find the LCM of 1504 and 1508?

Answer:

Least Common Multiple of 1504 and 1508 = 567008

Step 1: Find the prime factorization of 1504

1504 = 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 1508

1508 = 2 x 2 x 13 x 29

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

LCM = 567008 = 2 x 2 x 2 x 2 x 2 x 13 x 29 x 47

Step 4: Therefore, the least common multiple of 1504 and 1508 is 567008.