Least Common Multiple of 1500 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 1500 and 1503 the smallest integer that is 751500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1500 and 1503 is 751500.

LCM(1500,1503) = 751500

LCM of 1500 and 1503

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

LCM of:
and

Least Common Multiple of 1500 and 1503

LCM of 1500 and 1503 is 751500

Least common multiple can be found by multiplying the highest exponent prime factors of 1500 and 1503. First we will calculate the prime factors of 1500 and 1503.

Prime Factorization of 1500


2 1500
2 750
3 375
5 125
5 25
5 5
1

Prime factors of 1500 are 2, 3,5. Prime factorization of 1500 in exponential form is:

1500 = 22×31×53

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 1500 and 1503.

LCM(1500,1503) = 22×32×53×1671
LCM(1500,1503) = 751500

Factors of 1500

List of positive integer factors of 1500 that divides 1500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500

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 1500 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 1500 and 1503, than apply into the LCM equation.

GCF(1500,1503) = 3
LCM(1500,1503) = ( 1500 × 1503) / 3
LCM(1500,1503) = 2254500 / 3
LCM(1500,1503) = 751500

Properties of LCM 1500 and 1503

(i) The LCM of 1503 and 1500 is associative

LCM of 1500 and 1503 = LCM of 1503 and 1500

Related Least Common Multiples of 1500

Related Least Common Multiples of 1503

Frequently Asked Questions on LCM of 1500 and 1503

1. What is the LCM of 1500 and 1503?

Answer: LCM of 1500 and 1503 is 751500.

2. What are the Factors of 1500?

Answer: Factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. There are 24 integers that are factors of 1500. The greatest factor of 1500 is 1500.

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 1500 and 1503?

Answer:

Least Common Multiple of 1500 and 1503 = 751500

Step 1: Find the prime factorization of 1500

1500 = 2 x 2 x 3 x 5 x 5 x 5

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 = 751500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 167

Step 4: Therefore, the least common multiple of 1500 and 1503 is 751500.