Least Common Multiple of 1504 and 1506

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 1506 the smallest integer that is 1132512 that is divisible by both numbers.

Least Common Multiple (LCM) of 1504 and 1506 is 1132512.

LCM(1504,1506) = 1132512

LCM of 1504 and 1506

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

LCM of:
and

Least Common Multiple of 1504 and 1506

LCM of 1504 and 1506 is 1132512

Least common multiple can be found by multiplying the highest exponent prime factors of 1504 and 1506. First we will calculate the prime factors of 1504 and 1506.

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 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2, 3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1504 and 1506.

LCM(1504,1506) = 25×31×471×2511
LCM(1504,1506) = 1132512

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 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1, 2, 3, 6, 251, 502, 753, 1506

Least Common Multiple of 1504 and 1506 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 1506, than apply into the LCM equation.

GCF(1504,1506) = 2
LCM(1504,1506) = ( 1504 × 1506) / 2
LCM(1504,1506) = 2265024 / 2
LCM(1504,1506) = 1132512

Properties of LCM 1504 and 1506

(i) The LCM of 1506 and 1504 is associative

LCM of 1504 and 1506 = LCM of 1506 and 1504

Related Least Common Multiples of 1504

Related Least Common Multiples of 1506

Frequently Asked Questions on LCM of 1504 and 1506

1. What is the LCM of 1504 and 1506?

Answer: LCM of 1504 and 1506 is 1132512.

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 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

4. How to Find the LCM of 1504 and 1506?

Answer:

Least Common Multiple of 1504 and 1506 = 1132512

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 1506

1506 = 2 x 3 x 251

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

LCM = 1132512 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 251

Step 4: Therefore, the least common multiple of 1504 and 1506 is 1132512.