Least Common Multiple of 1502 and 1503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1502 and 1503 the smallest integer that is 2257506 that is divisible by both numbers.

Least Common Multiple (LCM) of 1502 and 1503 is 2257506.

LCM(1502,1503) = 2257506

LCM of 1502 and 1503

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

LCM of:
and

Least Common Multiple of 1502 and 1503

LCM of 1502 and 1503 is 2257506

Least common multiple can be found by multiplying the highest exponent prime factors of 1502 and 1503. First we will calculate the prime factors of 1502 and 1503.

Prime Factorization of 1502


2 1502
751 751
1

Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:

1502 = 21×7511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1502 and 1503.

LCM(1502,1503) = 21×32×1671×7511
LCM(1502,1503) = 2257506

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1, 2, 751, 1502

Factors of 1503

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

1, 3, 9, 167, 501, 1503

Least Common Multiple of 1502 and 1503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1502 and 1503, than apply into the LCM equation.

GCF(1502,1503) = 1
LCM(1502,1503) = ( 1502 × 1503) / 1
LCM(1502,1503) = 2257506 / 1
LCM(1502,1503) = 2257506

Properties of LCM 1502 and 1503

(i) The LCM of 1503 and 1502 is associative

LCM of 1502 and 1503 = LCM of 1503 and 1502

Related Least Common Multiples of 1502

Related Least Common Multiples of 1503

Frequently Asked Questions on LCM of 1502 and 1503

1. What is the LCM of 1502 and 1503?

Answer: LCM of 1502 and 1503 is 2257506.

2. What are the Factors of 1502?

Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.

3. 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.

4. How to Find the LCM of 1502 and 1503?

Answer:

Least Common Multiple of 1502 and 1503 = 2257506

Step 1: Find the prime factorization of 1502

1502 = 2 x 751

Step 2: Find the prime factorization of 1503

1503 = 3 x 3 x 167

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

LCM = 2257506 = 2 x 3 x 3 x 167 x 751

Step 4: Therefore, the least common multiple of 1502 and 1503 is 2257506.