Least Common Multiple of 1521 and 1526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1521 and 1526 the smallest integer that is 2321046 that is divisible by both numbers.

Least Common Multiple (LCM) of 1521 and 1526 is 2321046.

LCM(1521,1526) = 2321046

LCM of 1521 and 1526

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

LCM of:
and

Least Common Multiple of 1521 and 1526

LCM of 1521 and 1526 is 2321046

Least common multiple can be found by multiplying the highest exponent prime factors of 1521 and 1526. First we will calculate the prime factors of 1521 and 1526.

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

Prime Factorization of 1526


2 1526
7 763
109 109
1

Prime factors of 1526 are 2, 7,109. Prime factorization of 1526 in exponential form is:

1526 = 21×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1521 and 1526.

LCM(1521,1526) = 21×32×71×132×1091
LCM(1521,1526) = 2321046

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

Factors of 1526

List of positive integer factors of 1526 that divides 1526 without a remainder.

1, 2, 7, 14, 109, 218, 763, 1526

Least Common Multiple of 1521 and 1526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1521 and 1526, than apply into the LCM equation.

GCF(1521,1526) = 1
LCM(1521,1526) = ( 1521 × 1526) / 1
LCM(1521,1526) = 2321046 / 1
LCM(1521,1526) = 2321046

Properties of LCM 1521 and 1526

(i) The LCM of 1526 and 1521 is associative

LCM of 1521 and 1526 = LCM of 1526 and 1521

Related Least Common Multiples of 1521

Related Least Common Multiples of 1526

Frequently Asked Questions on LCM of 1521 and 1526

1. What is the LCM of 1521 and 1526?

Answer: LCM of 1521 and 1526 is 2321046.

2. 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.

3. What are the Factors of 1526?

Answer: Factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526. There are 8 integers that are factors of 1526. The greatest factor of 1526 is 1526.

4. How to Find the LCM of 1521 and 1526?

Answer:

Least Common Multiple of 1521 and 1526 = 2321046

Step 1: Find the prime factorization of 1521

1521 = 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 1526

1526 = 2 x 7 x 109

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

LCM = 2321046 = 2 x 3 x 3 x 7 x 13 x 13 x 109

Step 4: Therefore, the least common multiple of 1521 and 1526 is 2321046.