Least Common Multiple of 1575 and 1581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1575 and 1581 the smallest integer that is 830025 that is divisible by both numbers.

Least Common Multiple (LCM) of 1575 and 1581 is 830025.

LCM(1575,1581) = 830025

LCM of 1575 and 1581

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

LCM of:
and

Least Common Multiple of 1575 and 1581

LCM of 1575 and 1581 is 830025

Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1581. First we will calculate the prime factors of 1575 and 1581.

Prime Factorization of 1575


3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 1575 are 3, 5,7. Prime factorization of 1575 in exponential form is:

1575 = 32×52×71

Prime Factorization of 1581


3 1581
17 527
31 31
1

Prime factors of 1581 are 3, 17,31. Prime factorization of 1581 in exponential form is:

1581 = 31×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1581.

LCM(1575,1581) = 32×52×71×171×311
LCM(1575,1581) = 830025

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575

Factors of 1581

List of positive integer factors of 1581 that divides 1581 without a remainder.

1, 3, 17, 31, 51, 93, 527, 1581

Least Common Multiple of 1575 and 1581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1575 and 1581, than apply into the LCM equation.

GCF(1575,1581) = 3
LCM(1575,1581) = ( 1575 × 1581) / 3
LCM(1575,1581) = 2490075 / 3
LCM(1575,1581) = 830025

Properties of LCM 1575 and 1581

(i) The LCM of 1581 and 1575 is associative

LCM of 1575 and 1581 = LCM of 1581 and 1575

Related Least Common Multiples of 1575

Related Least Common Multiples of 1581

Frequently Asked Questions on LCM of 1575 and 1581

1. What is the LCM of 1575 and 1581?

Answer: LCM of 1575 and 1581 is 830025.

2. What are the Factors of 1575?

Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.

3. What are the Factors of 1581?

Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.

4. How to Find the LCM of 1575 and 1581?

Answer:

Least Common Multiple of 1575 and 1581 = 830025

Step 1: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 1581

1581 = 3 x 17 x 31

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

LCM = 830025 = 3 x 3 x 5 x 5 x 7 x 17 x 31

Step 4: Therefore, the least common multiple of 1575 and 1581 is 830025.