Least Common Multiple of 1527 and 1532

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 1532 the smallest integer that is 2339364 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1532 is 2339364.

LCM(1527,1532) = 2339364

LCM of 1527 and 1532

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

LCM of:
and

Least Common Multiple of 1527 and 1532

LCM of 1527 and 1532 is 2339364

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1532. First we will calculate the prime factors of 1527 and 1532.

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 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 1527 and 1532.

LCM(1527,1532) = 22×31×3831×5091
LCM(1527,1532) = 2339364

Factors of 1527

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

1, 3, 509, 1527

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1, 2, 4, 383, 766, 1532

Least Common Multiple of 1527 and 1532 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 1532, than apply into the LCM equation.

GCF(1527,1532) = 1
LCM(1527,1532) = ( 1527 × 1532) / 1
LCM(1527,1532) = 2339364 / 1
LCM(1527,1532) = 2339364

Properties of LCM 1527 and 1532

(i) The LCM of 1532 and 1527 is associative

LCM of 1527 and 1532 = LCM of 1532 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1532

Frequently Asked Questions on LCM of 1527 and 1532

1. What is the LCM of 1527 and 1532?

Answer: LCM of 1527 and 1532 is 2339364.

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 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

4. How to Find the LCM of 1527 and 1532?

Answer:

Least Common Multiple of 1527 and 1532 = 2339364

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

Step 2: Find the prime factorization of 1532

1532 = 2 x 2 x 383

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

LCM = 2339364 = 2 x 2 x 3 x 383 x 509

Step 4: Therefore, the least common multiple of 1527 and 1532 is 2339364.