Least Common Multiple of 1504 and 1509

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 1509 the smallest integer that is 2269536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1504 and 1509 is 2269536.

LCM(1504,1509) = 2269536

LCM of 1504 and 1509

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

LCM of:
and

Least Common Multiple of 1504 and 1509

LCM of 1504 and 1509 is 2269536

Least common multiple can be found by multiplying the highest exponent prime factors of 1504 and 1509. First we will calculate the prime factors of 1504 and 1509.

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 1509


3 1509
503 503
1

Prime factors of 1509 are 3,503. Prime factorization of 1509 in exponential form is:

1509 = 31×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 1504 and 1509.

LCM(1504,1509) = 25×31×471×5031
LCM(1504,1509) = 2269536

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 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1, 3, 503, 1509

Least Common Multiple of 1504 and 1509 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 1509, than apply into the LCM equation.

GCF(1504,1509) = 1
LCM(1504,1509) = ( 1504 × 1509) / 1
LCM(1504,1509) = 2269536 / 1
LCM(1504,1509) = 2269536

Properties of LCM 1504 and 1509

(i) The LCM of 1509 and 1504 is associative

LCM of 1504 and 1509 = LCM of 1509 and 1504

Related Least Common Multiples of 1504

Related Least Common Multiples of 1509

Frequently Asked Questions on LCM of 1504 and 1509

1. What is the LCM of 1504 and 1509?

Answer: LCM of 1504 and 1509 is 2269536.

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 1509?

Answer: Factors of 1509 are 1, 3, 503, 1509. There are 4 integers that are factors of 1509. The greatest factor of 1509 is 1509.

4. How to Find the LCM of 1504 and 1509?

Answer:

Least Common Multiple of 1504 and 1509 = 2269536

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 1509

1509 = 3 x 503

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

LCM = 2269536 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 503

Step 4: Therefore, the least common multiple of 1504 and 1509 is 2269536.