Least Common Multiple of 1527 and 1535

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 1535 the smallest integer that is 2343945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1535 is 2343945.

LCM(1527,1535) = 2343945

LCM of 1527 and 1535

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

LCM of:
and

Least Common Multiple of 1527 and 1535

LCM of 1527 and 1535 is 2343945

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1535. First we will calculate the prime factors of 1527 and 1535.

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 1535


5 1535
307 307
1

Prime factors of 1535 are 5,307. Prime factorization of 1535 in exponential form is:

1535 = 51×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1527 and 1535.

LCM(1527,1535) = 31×51×3071×5091
LCM(1527,1535) = 2343945

Factors of 1527

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

1, 3, 509, 1527

Factors of 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1, 5, 307, 1535

Least Common Multiple of 1527 and 1535 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 1535, than apply into the LCM equation.

GCF(1527,1535) = 1
LCM(1527,1535) = ( 1527 × 1535) / 1
LCM(1527,1535) = 2343945 / 1
LCM(1527,1535) = 2343945

Properties of LCM 1527 and 1535

(i) The LCM of 1535 and 1527 is associative

LCM of 1527 and 1535 = LCM of 1535 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1535

Frequently Asked Questions on LCM of 1527 and 1535

1. What is the LCM of 1527 and 1535?

Answer: LCM of 1527 and 1535 is 2343945.

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 1535?

Answer: Factors of 1535 are 1, 5, 307, 1535. There are 4 integers that are factors of 1535. The greatest factor of 1535 is 1535.

4. How to Find the LCM of 1527 and 1535?

Answer:

Least Common Multiple of 1527 and 1535 = 2343945

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

Step 2: Find the prime factorization of 1535

1535 = 5 x 307

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

LCM = 2343945 = 3 x 5 x 307 x 509

Step 4: Therefore, the least common multiple of 1527 and 1535 is 2343945.