Least Common Multiple of 1497 and 1504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1497 and 1504 the smallest integer that is 2251488 that is divisible by both numbers.

Least Common Multiple (LCM) of 1497 and 1504 is 2251488.

LCM(1497,1504) = 2251488

LCM of 1497 and 1504

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

LCM of:
and

Least Common Multiple of 1497 and 1504

LCM of 1497 and 1504 is 2251488

Least common multiple can be found by multiplying the highest exponent prime factors of 1497 and 1504. First we will calculate the prime factors of 1497 and 1504.

Prime Factorization of 1497


3 1497
499 499
1

Prime factors of 1497 are 3,499. Prime factorization of 1497 in exponential form is:

1497 = 31×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1497 and 1504.

LCM(1497,1504) = 25×31×471×4991
LCM(1497,1504) = 2251488

Factors of 1497

List of positive integer factors of 1497 that divides 1497 without a remainder.

1, 3, 499, 1497

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

Least Common Multiple of 1497 and 1504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1497 and 1504, than apply into the LCM equation.

GCF(1497,1504) = 1
LCM(1497,1504) = ( 1497 × 1504) / 1
LCM(1497,1504) = 2251488 / 1
LCM(1497,1504) = 2251488

Properties of LCM 1497 and 1504

(i) The LCM of 1504 and 1497 is associative

LCM of 1497 and 1504 = LCM of 1504 and 1497

Related Least Common Multiples of 1497

Related Least Common Multiples of 1504

Frequently Asked Questions on LCM of 1497 and 1504

1. What is the LCM of 1497 and 1504?

Answer: LCM of 1497 and 1504 is 2251488.

2. What are the Factors of 1497?

Answer: Factors of 1497 are 1, 3, 499, 1497. There are 4 integers that are factors of 1497. The greatest factor of 1497 is 1497.

3. 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.

4. How to Find the LCM of 1497 and 1504?

Answer:

Least Common Multiple of 1497 and 1504 = 2251488

Step 1: Find the prime factorization of 1497

1497 = 3 x 499

Step 2: Find the prime factorization of 1504

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

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

LCM = 2251488 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 499

Step 4: Therefore, the least common multiple of 1497 and 1504 is 2251488.