Least Common Multiple of 1503 and 1510

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 1510 the smallest integer that is 2269530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1503 and 1510 is 2269530.

LCM(1503,1510) = 2269530

LCM of 1503 and 1510

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

LCM of:
and

Least Common Multiple of 1503 and 1510

LCM of 1503 and 1510 is 2269530

Least common multiple can be found by multiplying the highest exponent prime factors of 1503 and 1510. First we will calculate the prime factors of 1503 and 1510.

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 1510


2 1510
5 755
151 151
1

Prime factors of 1510 are 2, 5,151. Prime factorization of 1510 in exponential form is:

1510 = 21×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1503 and 1510.

LCM(1503,1510) = 21×32×51×1511×1671
LCM(1503,1510) = 2269530

Factors of 1503

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

1, 3, 9, 167, 501, 1503

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1, 2, 5, 10, 151, 302, 755, 1510

Least Common Multiple of 1503 and 1510 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 1510, than apply into the LCM equation.

GCF(1503,1510) = 1
LCM(1503,1510) = ( 1503 × 1510) / 1
LCM(1503,1510) = 2269530 / 1
LCM(1503,1510) = 2269530

Properties of LCM 1503 and 1510

(i) The LCM of 1510 and 1503 is associative

LCM of 1503 and 1510 = LCM of 1510 and 1503

Related Least Common Multiples of 1503

Related Least Common Multiples of 1510

Frequently Asked Questions on LCM of 1503 and 1510

1. What is the LCM of 1503 and 1510?

Answer: LCM of 1503 and 1510 is 2269530.

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 1510?

Answer: Factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510. There are 8 integers that are factors of 1510. The greatest factor of 1510 is 1510.

4. How to Find the LCM of 1503 and 1510?

Answer:

Least Common Multiple of 1503 and 1510 = 2269530

Step 1: Find the prime factorization of 1503

1503 = 3 x 3 x 167

Step 2: Find the prime factorization of 1510

1510 = 2 x 5 x 151

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

LCM = 2269530 = 2 x 3 x 3 x 5 x 151 x 167

Step 4: Therefore, the least common multiple of 1503 and 1510 is 2269530.