Least Common Multiple of 1567 and 1569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1567 and 1569 the smallest integer that is 2458623 that is divisible by both numbers.

Least Common Multiple (LCM) of 1567 and 1569 is 2458623.

LCM(1567,1569) = 2458623

LCM of 1567 and 1569

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

LCM of:
and

Least Common Multiple of 1567 and 1569

LCM of 1567 and 1569 is 2458623

Least common multiple can be found by multiplying the highest exponent prime factors of 1567 and 1569. First we will calculate the prime factors of 1567 and 1569.

Prime Factorization of 1567


1567 1567
1

Prime factors of 1567 are 1567. Prime factorization of 1567 in exponential form is:

1567 = 15671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1567 and 1569.

LCM(1567,1569) = 31×5231×15671
LCM(1567,1569) = 2458623

Factors of 1567

List of positive integer factors of 1567 that divides 1567 without a remainder.

1, 1567

Factors of 1569

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

1, 3, 523, 1569

Least Common Multiple of 1567 and 1569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1567 and 1569, than apply into the LCM equation.

GCF(1567,1569) = 1
LCM(1567,1569) = ( 1567 × 1569) / 1
LCM(1567,1569) = 2458623 / 1
LCM(1567,1569) = 2458623

Properties of LCM 1567 and 1569

(i) The LCM of 1569 and 1567 is associative

LCM of 1567 and 1569 = LCM of 1569 and 1567

Related Least Common Multiples of 1567

Related Least Common Multiples of 1569

Frequently Asked Questions on LCM of 1567 and 1569

1. What is the LCM of 1567 and 1569?

Answer: LCM of 1567 and 1569 is 2458623.

2. What are the Factors of 1567?

Answer: Factors of 1567 are 1, 1567. There are 2 integers that are factors of 1567. The greatest factor of 1567 is 1567.

3. 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.

4. How to Find the LCM of 1567 and 1569?

Answer:

Least Common Multiple of 1567 and 1569 = 2458623

Step 1: Find the prime factorization of 1567

1567 = 1567

Step 2: Find the prime factorization of 1569

1569 = 3 x 523

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

LCM = 2458623 = 3 x 523 x 1567

Step 4: Therefore, the least common multiple of 1567 and 1569 is 2458623.