Least Common Multiple of 1503 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 1503 and 1504 the smallest integer that is 2260512 that is divisible by both numbers.

Least Common Multiple (LCM) of 1503 and 1504 is 2260512.

LCM(1503,1504) = 2260512

LCM of 1503 and 1504

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

LCM of:
and

Least Common Multiple of 1503 and 1504

LCM of 1503 and 1504 is 2260512

Least common multiple can be found by multiplying the highest exponent prime factors of 1503 and 1504. First we will calculate the prime factors of 1503 and 1504.

Prime Factorization of 1503


3 1503
3 501
167 167
1

Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:

1503 = 32×1671

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 1503 and 1504.

LCM(1503,1504) = 25×32×471×1671
LCM(1503,1504) = 2260512

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1, 3, 9, 167, 501, 1503

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 1503 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 1503 and 1504, than apply into the LCM equation.

GCF(1503,1504) = 1
LCM(1503,1504) = ( 1503 × 1504) / 1
LCM(1503,1504) = 2260512 / 1
LCM(1503,1504) = 2260512

Properties of LCM 1503 and 1504

(i) The LCM of 1504 and 1503 is associative

LCM of 1503 and 1504 = LCM of 1504 and 1503

Related Least Common Multiples of 1503

Related Least Common Multiples of 1504

Frequently Asked Questions on LCM of 1503 and 1504

1. What is the LCM of 1503 and 1504?

Answer: LCM of 1503 and 1504 is 2260512.

2. What are the Factors of 1503?

Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.

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 1503 and 1504?

Answer:

Least Common Multiple of 1503 and 1504 = 2260512

Step 1: Find the prime factorization of 1503

1503 = 3 x 3 x 167

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 = 2260512 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 47 x 167

Step 4: Therefore, the least common multiple of 1503 and 1504 is 2260512.