Least Common Multiple of 1569 and 1575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1569 and 1575 the smallest integer that is 823725 that is divisible by both numbers.

Least Common Multiple (LCM) of 1569 and 1575 is 823725.

LCM(1569,1575) = 823725

LCM of 1569 and 1575

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

LCM of:
and

Least Common Multiple of 1569 and 1575

LCM of 1569 and 1575 is 823725

Least common multiple can be found by multiplying the highest exponent prime factors of 1569 and 1575. First we will calculate the prime factors of 1569 and 1575.

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1569 and 1575.

LCM(1569,1575) = 32×52×71×5231
LCM(1569,1575) = 823725

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1, 3, 523, 1569

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

Least Common Multiple of 1569 and 1575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1569 and 1575, than apply into the LCM equation.

GCF(1569,1575) = 3
LCM(1569,1575) = ( 1569 × 1575) / 3
LCM(1569,1575) = 2471175 / 3
LCM(1569,1575) = 823725

Properties of LCM 1569 and 1575

(i) The LCM of 1575 and 1569 is associative

LCM of 1569 and 1575 = LCM of 1575 and 1569

Related Least Common Multiples of 1569

Related Least Common Multiples of 1575

Frequently Asked Questions on LCM of 1569 and 1575

1. What is the LCM of 1569 and 1575?

Answer: LCM of 1569 and 1575 is 823725.

2. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

3. 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.

4. How to Find the LCM of 1569 and 1575?

Answer:

Least Common Multiple of 1569 and 1575 = 823725

Step 1: Find the prime factorization of 1569

1569 = 3 x 523

Step 2: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

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

LCM = 823725 = 3 x 3 x 5 x 5 x 7 x 523

Step 4: Therefore, the least common multiple of 1569 and 1575 is 823725.