Least Common Multiple of 1511 and 1515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1511 and 1515 the smallest integer that is 2289165 that is divisible by both numbers.

Least Common Multiple (LCM) of 1511 and 1515 is 2289165.

LCM(1511,1515) = 2289165

LCM of 1511 and 1515

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

LCM of:
and

Least Common Multiple of 1511 and 1515

LCM of 1511 and 1515 is 2289165

Least common multiple can be found by multiplying the highest exponent prime factors of 1511 and 1515. First we will calculate the prime factors of 1511 and 1515.

Prime Factorization of 1511


1511 1511
1

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

1511 = 15111

Prime Factorization of 1515


3 1515
5 505
101 101
1

Prime factors of 1515 are 3, 5,101. Prime factorization of 1515 in exponential form is:

1515 = 31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1511 and 1515.

LCM(1511,1515) = 31×51×1011×15111
LCM(1511,1515) = 2289165

Factors of 1511

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

1, 1511

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1, 3, 5, 15, 101, 303, 505, 1515

Least Common Multiple of 1511 and 1515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1511 and 1515, than apply into the LCM equation.

GCF(1511,1515) = 1
LCM(1511,1515) = ( 1511 × 1515) / 1
LCM(1511,1515) = 2289165 / 1
LCM(1511,1515) = 2289165

Properties of LCM 1511 and 1515

(i) The LCM of 1515 and 1511 is associative

LCM of 1511 and 1515 = LCM of 1515 and 1511

Related Least Common Multiples of 1511

Related Least Common Multiples of 1515

Frequently Asked Questions on LCM of 1511 and 1515

1. What is the LCM of 1511 and 1515?

Answer: LCM of 1511 and 1515 is 2289165.

2. 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.

3. What are the Factors of 1515?

Answer: Factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515. There are 8 integers that are factors of 1515. The greatest factor of 1515 is 1515.

4. How to Find the LCM of 1511 and 1515?

Answer:

Least Common Multiple of 1511 and 1515 = 2289165

Step 1: Find the prime factorization of 1511

1511 = 1511

Step 2: Find the prime factorization of 1515

1515 = 3 x 5 x 101

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

LCM = 2289165 = 3 x 5 x 101 x 1511

Step 4: Therefore, the least common multiple of 1511 and 1515 is 2289165.