Least Common Multiple of 1505 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 1505 and 1509 the smallest integer that is 2271045 that is divisible by both numbers.

Least Common Multiple (LCM) of 1505 and 1509 is 2271045.

LCM(1505,1509) = 2271045

LCM of 1505 and 1509

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

LCM of:
and

Least Common Multiple of 1505 and 1509

LCM of 1505 and 1509 is 2271045

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1509. First we will calculate the prime factors of 1505 and 1509.

Prime Factorization of 1505


5 1505
7 301
43 43
1

Prime factors of 1505 are 5, 7,43. Prime factorization of 1505 in exponential form is:

1505 = 51×71×431

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 1505 and 1509.

LCM(1505,1509) = 31×51×71×431×5031
LCM(1505,1509) = 2271045

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1, 5, 7, 35, 43, 215, 301, 1505

Factors of 1509

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

1, 3, 503, 1509

Least Common Multiple of 1505 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 1505 and 1509, than apply into the LCM equation.

GCF(1505,1509) = 1
LCM(1505,1509) = ( 1505 × 1509) / 1
LCM(1505,1509) = 2271045 / 1
LCM(1505,1509) = 2271045

Properties of LCM 1505 and 1509

(i) The LCM of 1509 and 1505 is associative

LCM of 1505 and 1509 = LCM of 1509 and 1505

Related Least Common Multiples of 1505

Related Least Common Multiples of 1509

Frequently Asked Questions on LCM of 1505 and 1509

1. What is the LCM of 1505 and 1509?

Answer: LCM of 1505 and 1509 is 2271045.

2. What are the Factors of 1505?

Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.

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 1505 and 1509?

Answer:

Least Common Multiple of 1505 and 1509 = 2271045

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

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 = 2271045 = 3 x 5 x 7 x 43 x 503

Step 4: Therefore, the least common multiple of 1505 and 1509 is 2271045.