Least Common Multiple of 1521 and 1527

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 1527 the smallest integer that is 774189 that is divisible by both numbers.

Least Common Multiple (LCM) of 1521 and 1527 is 774189.

LCM(1521,1527) = 774189

LCM of 1521 and 1527

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

LCM of:
and

Least Common Multiple of 1521 and 1527

LCM of 1521 and 1527 is 774189

Least common multiple can be found by multiplying the highest exponent prime factors of 1521 and 1527. First we will calculate the prime factors of 1521 and 1527.

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 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1521 and 1527.

LCM(1521,1527) = 32×132×5091
LCM(1521,1527) = 774189

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 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1, 3, 509, 1527

Least Common Multiple of 1521 and 1527 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 1527, than apply into the LCM equation.

GCF(1521,1527) = 3
LCM(1521,1527) = ( 1521 × 1527) / 3
LCM(1521,1527) = 2322567 / 3
LCM(1521,1527) = 774189

Properties of LCM 1521 and 1527

(i) The LCM of 1527 and 1521 is associative

LCM of 1521 and 1527 = LCM of 1527 and 1521

Related Least Common Multiples of 1521

Related Least Common Multiples of 1527

Frequently Asked Questions on LCM of 1521 and 1527

1. What is the LCM of 1521 and 1527?

Answer: LCM of 1521 and 1527 is 774189.

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 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

4. How to Find the LCM of 1521 and 1527?

Answer:

Least Common Multiple of 1521 and 1527 = 774189

Step 1: Find the prime factorization of 1521

1521 = 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 1527

1527 = 3 x 509

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

LCM = 774189 = 3 x 3 x 13 x 13 x 509

Step 4: Therefore, the least common multiple of 1521 and 1527 is 774189.