Least Common Multiple of 1502 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 1502 and 1509 the smallest integer that is 2266518 that is divisible by both numbers.

Least Common Multiple (LCM) of 1502 and 1509 is 2266518.

LCM(1502,1509) = 2266518

LCM of 1502 and 1509

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

LCM of:
and

Least Common Multiple of 1502 and 1509

LCM of 1502 and 1509 is 2266518

Least common multiple can be found by multiplying the highest exponent prime factors of 1502 and 1509. First we will calculate the prime factors of 1502 and 1509.

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 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 1502 and 1509.

LCM(1502,1509) = 21×31×5031×7511
LCM(1502,1509) = 2266518

Factors of 1502

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

1, 2, 751, 1502

Factors of 1509

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

1, 3, 503, 1509

Least Common Multiple of 1502 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 1502 and 1509, than apply into the LCM equation.

GCF(1502,1509) = 1
LCM(1502,1509) = ( 1502 × 1509) / 1
LCM(1502,1509) = 2266518 / 1
LCM(1502,1509) = 2266518

Properties of LCM 1502 and 1509

(i) The LCM of 1509 and 1502 is associative

LCM of 1502 and 1509 = LCM of 1509 and 1502

Related Least Common Multiples of 1502

Related Least Common Multiples of 1509

Frequently Asked Questions on LCM of 1502 and 1509

1. What is the LCM of 1502 and 1509?

Answer: LCM of 1502 and 1509 is 2266518.

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 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 1502 and 1509?

Answer:

Least Common Multiple of 1502 and 1509 = 2266518

Step 1: Find the prime factorization of 1502

1502 = 2 x 751

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 = 2266518 = 2 x 3 x 503 x 751

Step 4: Therefore, the least common multiple of 1502 and 1509 is 2266518.