Least Common Multiple of 1527 and 1528

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 1528 the smallest integer that is 2333256 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1528 is 2333256.

LCM(1527,1528) = 2333256

LCM of 1527 and 1528

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

LCM of:
and

Least Common Multiple of 1527 and 1528

LCM of 1527 and 1528 is 2333256

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1528. First we will calculate the prime factors of 1527 and 1528.

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 1528


2 1528
2 764
2 382
191 191
1

Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:

1528 = 23×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1527 and 1528.

LCM(1527,1528) = 23×31×1911×5091
LCM(1527,1528) = 2333256

Factors of 1527

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

1, 3, 509, 1527

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1, 2, 4, 8, 191, 382, 764, 1528

Least Common Multiple of 1527 and 1528 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 1528, than apply into the LCM equation.

GCF(1527,1528) = 1
LCM(1527,1528) = ( 1527 × 1528) / 1
LCM(1527,1528) = 2333256 / 1
LCM(1527,1528) = 2333256

Properties of LCM 1527 and 1528

(i) The LCM of 1528 and 1527 is associative

LCM of 1527 and 1528 = LCM of 1528 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1528

Frequently Asked Questions on LCM of 1527 and 1528

1. What is the LCM of 1527 and 1528?

Answer: LCM of 1527 and 1528 is 2333256.

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 1528?

Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.

4. How to Find the LCM of 1527 and 1528?

Answer:

Least Common Multiple of 1527 and 1528 = 2333256

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

Step 2: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

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

LCM = 2333256 = 2 x 2 x 2 x 3 x 191 x 509

Step 4: Therefore, the least common multiple of 1527 and 1528 is 2333256.