Least Common Multiple of 1530 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 1530 and 1535 the smallest integer that is 469710 that is divisible by both numbers.

Least Common Multiple (LCM) of 1530 and 1535 is 469710.

LCM(1530,1535) = 469710

LCM of 1530 and 1535

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

LCM of:
and

Least Common Multiple of 1530 and 1535

LCM of 1530 and 1535 is 469710

Least common multiple can be found by multiplying the highest exponent prime factors of 1530 and 1535. First we will calculate the prime factors of 1530 and 1535.

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2, 3, 5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

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 1530 and 1535.

LCM(1530,1535) = 21×32×51×171×3071
LCM(1530,1535) = 469710

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Factors of 1535

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

1, 5, 307, 1535

Least Common Multiple of 1530 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 1530 and 1535, than apply into the LCM equation.

GCF(1530,1535) = 5
LCM(1530,1535) = ( 1530 × 1535) / 5
LCM(1530,1535) = 2348550 / 5
LCM(1530,1535) = 469710

Properties of LCM 1530 and 1535

(i) The LCM of 1535 and 1530 is associative

LCM of 1530 and 1535 = LCM of 1535 and 1530

Related Least Common Multiples of 1530

Related Least Common Multiples of 1535

Frequently Asked Questions on LCM of 1530 and 1535

1. What is the LCM of 1530 and 1535?

Answer: LCM of 1530 and 1535 is 469710.

2. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

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 1530 and 1535?

Answer:

Least Common Multiple of 1530 and 1535 = 469710

Step 1: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

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 = 469710 = 2 x 3 x 3 x 5 x 17 x 307

Step 4: Therefore, the least common multiple of 1530 and 1535 is 469710.