Least Common Multiple of 1514 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 1514 and 1521 the smallest integer that is 2302794 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1521 is 2302794.

LCM(1514,1521) = 2302794

LCM of 1514 and 1521

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

LCM of:
and

Least Common Multiple of 1514 and 1521

LCM of 1514 and 1521 is 2302794

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1521. First we will calculate the prime factors of 1514 and 1521.

Prime Factorization of 1514


2 1514
757 757
1

Prime factors of 1514 are 2,757. Prime factorization of 1514 in exponential form is:

1514 = 21×7571

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 1514 and 1521.

LCM(1514,1521) = 21×32×132×7571
LCM(1514,1521) = 2302794

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1, 2, 757, 1514

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 1514 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 1514 and 1521, than apply into the LCM equation.

GCF(1514,1521) = 1
LCM(1514,1521) = ( 1514 × 1521) / 1
LCM(1514,1521) = 2302794 / 1
LCM(1514,1521) = 2302794

Properties of LCM 1514 and 1521

(i) The LCM of 1521 and 1514 is associative

LCM of 1514 and 1521 = LCM of 1521 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1521

Frequently Asked Questions on LCM of 1514 and 1521

1. What is the LCM of 1514 and 1521?

Answer: LCM of 1514 and 1521 is 2302794.

2. What are the Factors of 1514?

Answer: Factors of 1514 are 1, 2, 757, 1514. There are 4 integers that are factors of 1514. The greatest factor of 1514 is 1514.

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 1514 and 1521?

Answer:

Least Common Multiple of 1514 and 1521 = 2302794

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

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 = 2302794 = 2 x 3 x 3 x 13 x 13 x 757

Step 4: Therefore, the least common multiple of 1514 and 1521 is 2302794.