Least Common Multiple of 1516 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 1516 and 1521 the smallest integer that is 2305836 that is divisible by both numbers.

Least Common Multiple (LCM) of 1516 and 1521 is 2305836.

LCM(1516,1521) = 2305836

LCM of 1516 and 1521

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

LCM of:
and

Least Common Multiple of 1516 and 1521

LCM of 1516 and 1521 is 2305836

Least common multiple can be found by multiplying the highest exponent prime factors of 1516 and 1521. First we will calculate the prime factors of 1516 and 1521.

Prime Factorization of 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

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 1516 and 1521.

LCM(1516,1521) = 22×32×132×3791
LCM(1516,1521) = 2305836

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1, 2, 4, 379, 758, 1516

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 1516 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 1516 and 1521, than apply into the LCM equation.

GCF(1516,1521) = 1
LCM(1516,1521) = ( 1516 × 1521) / 1
LCM(1516,1521) = 2305836 / 1
LCM(1516,1521) = 2305836

Properties of LCM 1516 and 1521

(i) The LCM of 1521 and 1516 is associative

LCM of 1516 and 1521 = LCM of 1521 and 1516

Related Least Common Multiples of 1516

Related Least Common Multiples of 1521

Frequently Asked Questions on LCM of 1516 and 1521

1. What is the LCM of 1516 and 1521?

Answer: LCM of 1516 and 1521 is 2305836.

2. What are the Factors of 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

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 1516 and 1521?

Answer:

Least Common Multiple of 1516 and 1521 = 2305836

Step 1: Find the prime factorization of 1516

1516 = 2 x 2 x 379

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 = 2305836 = 2 x 2 x 3 x 3 x 13 x 13 x 379

Step 4: Therefore, the least common multiple of 1516 and 1521 is 2305836.