Least Common Multiple of 1567 and 1571

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 1571 the smallest integer that is 2461757 that is divisible by both numbers.

Least Common Multiple (LCM) of 1567 and 1571 is 2461757.

LCM(1567,1571) = 2461757

LCM of 1567 and 1571

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

LCM of:
and

Least Common Multiple of 1567 and 1571

LCM of 1567 and 1571 is 2461757

Least common multiple can be found by multiplying the highest exponent prime factors of 1567 and 1571. First we will calculate the prime factors of 1567 and 1571.

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 1571


1571 1571
1

Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:

1571 = 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 1567 and 1571.

LCM(1567,1571) = 15671×15711
LCM(1567,1571) = 2461757

Factors of 1567

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

1, 1567

Factors of 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1, 1571

Least Common Multiple of 1567 and 1571 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 1571, than apply into the LCM equation.

GCF(1567,1571) = 1
LCM(1567,1571) = ( 1567 × 1571) / 1
LCM(1567,1571) = 2461757 / 1
LCM(1567,1571) = 2461757

Properties of LCM 1567 and 1571

(i) The LCM of 1571 and 1567 is associative

LCM of 1567 and 1571 = LCM of 1571 and 1567

Related Least Common Multiples of 1567

Related Least Common Multiples of 1571

Frequently Asked Questions on LCM of 1567 and 1571

1. What is the LCM of 1567 and 1571?

Answer: LCM of 1567 and 1571 is 2461757.

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 1571?

Answer: Factors of 1571 are 1, 1571. There are 2 integers that are factors of 1571. The greatest factor of 1571 is 1571.

4. How to Find the LCM of 1567 and 1571?

Answer:

Least Common Multiple of 1567 and 1571 = 2461757

Step 1: Find the prime factorization of 1567

1567 = 1567

Step 2: Find the prime factorization of 1571

1571 = 1571

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

LCM = 2461757 = 1567 x 1571

Step 4: Therefore, the least common multiple of 1567 and 1571 is 2461757.