Least Common Multiple of 1535 and 1540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1535 and 1540 the smallest integer that is 472780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1535 and 1540 is 472780.

LCM(1535,1540) = 472780

LCM of 1535 and 1540

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

LCM of:
and

Least Common Multiple of 1535 and 1540

LCM of 1535 and 1540 is 472780

Least common multiple can be found by multiplying the highest exponent prime factors of 1535 and 1540. First we will calculate the prime factors of 1535 and 1540.

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

Prime Factorization of 1540


2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 1540 are 2, 5, 7,11. Prime factorization of 1540 in exponential form is:

1540 = 22×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1535 and 1540.

LCM(1535,1540) = 22×51×71×111×3071
LCM(1535,1540) = 472780

Factors of 1535

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

1, 5, 307, 1535

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

Least Common Multiple of 1535 and 1540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1535 and 1540, than apply into the LCM equation.

GCF(1535,1540) = 5
LCM(1535,1540) = ( 1535 × 1540) / 5
LCM(1535,1540) = 2363900 / 5
LCM(1535,1540) = 472780

Properties of LCM 1535 and 1540

(i) The LCM of 1540 and 1535 is associative

LCM of 1535 and 1540 = LCM of 1540 and 1535

Related Least Common Multiples of 1535

Related Least Common Multiples of 1540

Frequently Asked Questions on LCM of 1535 and 1540

1. What is the LCM of 1535 and 1540?

Answer: LCM of 1535 and 1540 is 472780.

2. 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.

3. What are the Factors of 1540?

Answer: Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. There are 24 integers that are factors of 1540. The greatest factor of 1540 is 1540.

4. How to Find the LCM of 1535 and 1540?

Answer:

Least Common Multiple of 1535 and 1540 = 472780

Step 1: Find the prime factorization of 1535

1535 = 5 x 307

Step 2: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

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

LCM = 472780 = 2 x 2 x 5 x 7 x 11 x 307

Step 4: Therefore, the least common multiple of 1535 and 1540 is 472780.