Least Common Multiple of 1503 and 1509

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 1509 the smallest integer that is 756009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1503 and 1509 is 756009.

LCM(1503,1509) = 756009

LCM of 1503 and 1509

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

LCM of:
and

Least Common Multiple of 1503 and 1509

LCM of 1503 and 1509 is 756009

Least common multiple can be found by multiplying the highest exponent prime factors of 1503 and 1509. First we will calculate the prime factors of 1503 and 1509.

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 1509


3 1509
503 503
1

Prime factors of 1509 are 3,503. Prime factorization of 1509 in exponential form is:

1509 = 31×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 1503 and 1509.

LCM(1503,1509) = 32×1671×5031
LCM(1503,1509) = 756009

Factors of 1503

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

1, 3, 9, 167, 501, 1503

Factors of 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1, 3, 503, 1509

Least Common Multiple of 1503 and 1509 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 1509, than apply into the LCM equation.

GCF(1503,1509) = 3
LCM(1503,1509) = ( 1503 × 1509) / 3
LCM(1503,1509) = 2268027 / 3
LCM(1503,1509) = 756009

Properties of LCM 1503 and 1509

(i) The LCM of 1509 and 1503 is associative

LCM of 1503 and 1509 = LCM of 1509 and 1503

Related Least Common Multiples of 1503

Related Least Common Multiples of 1509

Frequently Asked Questions on LCM of 1503 and 1509

1. What is the LCM of 1503 and 1509?

Answer: LCM of 1503 and 1509 is 756009.

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 1509?

Answer: Factors of 1509 are 1, 3, 503, 1509. There are 4 integers that are factors of 1509. The greatest factor of 1509 is 1509.

4. How to Find the LCM of 1503 and 1509?

Answer:

Least Common Multiple of 1503 and 1509 = 756009

Step 1: Find the prime factorization of 1503

1503 = 3 x 3 x 167

Step 2: Find the prime factorization of 1509

1509 = 3 x 503

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

LCM = 756009 = 3 x 3 x 167 x 503

Step 4: Therefore, the least common multiple of 1503 and 1509 is 756009.