Least Common Multiple of 1527 and 1533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1527 and 1533 the smallest integer that is 780297 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1533 is 780297.

LCM(1527,1533) = 780297

LCM of 1527 and 1533

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

LCM of:
and

Least Common Multiple of 1527 and 1533

LCM of 1527 and 1533 is 780297

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1533. First we will calculate the prime factors of 1527 and 1533.

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

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1527 and 1533.

LCM(1527,1533) = 31×71×731×5091
LCM(1527,1533) = 780297

Factors of 1527

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

1, 3, 509, 1527

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

Least Common Multiple of 1527 and 1533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1527 and 1533, than apply into the LCM equation.

GCF(1527,1533) = 3
LCM(1527,1533) = ( 1527 × 1533) / 3
LCM(1527,1533) = 2340891 / 3
LCM(1527,1533) = 780297

Properties of LCM 1527 and 1533

(i) The LCM of 1533 and 1527 is associative

LCM of 1527 and 1533 = LCM of 1533 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1533

Frequently Asked Questions on LCM of 1527 and 1533

1. What is the LCM of 1527 and 1533?

Answer: LCM of 1527 and 1533 is 780297.

2. 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.

3. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

4. How to Find the LCM of 1527 and 1533?

Answer:

Least Common Multiple of 1527 and 1533 = 780297

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

Step 2: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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

LCM = 780297 = 3 x 7 x 73 x 509

Step 4: Therefore, the least common multiple of 1527 and 1533 is 780297.