Least Common Multiple of 1505 and 1511

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 1511 the smallest integer that is 2274055 that is divisible by both numbers.

Least Common Multiple (LCM) of 1505 and 1511 is 2274055.

LCM(1505,1511) = 2274055

LCM of 1505 and 1511

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

LCM of:
and

Least Common Multiple of 1505 and 1511

LCM of 1505 and 1511 is 2274055

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1511. First we will calculate the prime factors of 1505 and 1511.

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 1511


1511 1511
1

Prime factors of 1511 are 1511. Prime factorization of 1511 in exponential form is:

1511 = 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 1505 and 1511.

LCM(1505,1511) = 51×71×431×15111
LCM(1505,1511) = 2274055

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 1511

List of positive integer factors of 1511 that divides 1511 without a remainder.

1, 1511

Least Common Multiple of 1505 and 1511 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 1511, than apply into the LCM equation.

GCF(1505,1511) = 1
LCM(1505,1511) = ( 1505 × 1511) / 1
LCM(1505,1511) = 2274055 / 1
LCM(1505,1511) = 2274055

Properties of LCM 1505 and 1511

(i) The LCM of 1511 and 1505 is associative

LCM of 1505 and 1511 = LCM of 1511 and 1505

Related Least Common Multiples of 1505

Related Least Common Multiples of 1511

Frequently Asked Questions on LCM of 1505 and 1511

1. What is the LCM of 1505 and 1511?

Answer: LCM of 1505 and 1511 is 2274055.

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 1511?

Answer: Factors of 1511 are 1, 1511. There are 2 integers that are factors of 1511. The greatest factor of 1511 is 1511.

4. How to Find the LCM of 1505 and 1511?

Answer:

Least Common Multiple of 1505 and 1511 = 2274055

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1511

1511 = 1511

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

LCM = 2274055 = 5 x 7 x 43 x 1511

Step 4: Therefore, the least common multiple of 1505 and 1511 is 2274055.