Least Common Multiple of 1515 and 1521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1515 and 1521 the smallest integer that is 768105 that is divisible by both numbers.

Least Common Multiple (LCM) of 1515 and 1521 is 768105.

LCM(1515,1521) = 768105

LCM of 1515 and 1521

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

LCM of:
and

Least Common Multiple of 1515 and 1521

LCM of 1515 and 1521 is 768105

Least common multiple can be found by multiplying the highest exponent prime factors of 1515 and 1521. First we will calculate the prime factors of 1515 and 1521.

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

Prime Factorization of 1521


3 1521
3 507
13 169
13 13
1

Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:

1521 = 32×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1515 and 1521.

LCM(1515,1521) = 32×51×132×1011
LCM(1515,1521) = 768105

Factors of 1515

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

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

Factors of 1521

List of positive integer factors of 1521 that divides 1521 without a remainder.

1, 3, 9, 13, 39, 117, 169, 507, 1521

Least Common Multiple of 1515 and 1521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1515 and 1521, than apply into the LCM equation.

GCF(1515,1521) = 3
LCM(1515,1521) = ( 1515 × 1521) / 3
LCM(1515,1521) = 2304315 / 3
LCM(1515,1521) = 768105

Properties of LCM 1515 and 1521

(i) The LCM of 1521 and 1515 is associative

LCM of 1515 and 1521 = LCM of 1521 and 1515

Related Least Common Multiples of 1515

Related Least Common Multiples of 1521

Frequently Asked Questions on LCM of 1515 and 1521

1. What is the LCM of 1515 and 1521?

Answer: LCM of 1515 and 1521 is 768105.

2. 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.

3. What are the Factors of 1521?

Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.

4. How to Find the LCM of 1515 and 1521?

Answer:

Least Common Multiple of 1515 and 1521 = 768105

Step 1: Find the prime factorization of 1515

1515 = 3 x 5 x 101

Step 2: Find the prime factorization of 1521

1521 = 3 x 3 x 13 x 13

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

LCM = 768105 = 3 x 3 x 5 x 13 x 13 x 101

Step 4: Therefore, the least common multiple of 1515 and 1521 is 768105.