Least Common Multiple of 1533 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 1533 and 1540 the smallest integer that is 337260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1533 and 1540 is 337260.

LCM(1533,1540) = 337260

LCM of 1533 and 1540

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

LCM of:
and

Least Common Multiple of 1533 and 1540

LCM of 1533 and 1540 is 337260

Least common multiple can be found by multiplying the highest exponent prime factors of 1533 and 1540. First we will calculate the prime factors of 1533 and 1540.

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

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 1533 and 1540.

LCM(1533,1540) = 22×31×51×71×111×731
LCM(1533,1540) = 337260

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

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 1533 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 1533 and 1540, than apply into the LCM equation.

GCF(1533,1540) = 7
LCM(1533,1540) = ( 1533 × 1540) / 7
LCM(1533,1540) = 2360820 / 7
LCM(1533,1540) = 337260

Properties of LCM 1533 and 1540

(i) The LCM of 1540 and 1533 is associative

LCM of 1533 and 1540 = LCM of 1540 and 1533

Related Least Common Multiples of 1533

Related Least Common Multiples of 1540

Frequently Asked Questions on LCM of 1533 and 1540

1. What is the LCM of 1533 and 1540?

Answer: LCM of 1533 and 1540 is 337260.

2. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

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 1533 and 1540?

Answer:

Least Common Multiple of 1533 and 1540 = 337260

Step 1: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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 = 337260 = 2 x 2 x 3 x 5 x 7 x 11 x 73

Step 4: Therefore, the least common multiple of 1533 and 1540 is 337260.