Least Common Multiple of 1571 and 1578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1571 and 1578 the smallest integer that is 2479038 that is divisible by both numbers.

Least Common Multiple (LCM) of 1571 and 1578 is 2479038.

LCM(1571,1578) = 2479038

LCM of 1571 and 1578

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

LCM of:
and

Least Common Multiple of 1571 and 1578

LCM of 1571 and 1578 is 2479038

Least common multiple can be found by multiplying the highest exponent prime factors of 1571 and 1578. First we will calculate the prime factors of 1571 and 1578.

Prime Factorization of 1571


1571 1571
1

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

1571 = 15711

Prime Factorization of 1578


2 1578
3 789
263 263
1

Prime factors of 1578 are 2, 3,263. Prime factorization of 1578 in exponential form is:

1578 = 21×31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 1571 and 1578.

LCM(1571,1578) = 21×31×2631×15711
LCM(1571,1578) = 2479038

Factors of 1571

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

1, 1571

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1, 2, 3, 6, 263, 526, 789, 1578

Least Common Multiple of 1571 and 1578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1571 and 1578, than apply into the LCM equation.

GCF(1571,1578) = 1
LCM(1571,1578) = ( 1571 × 1578) / 1
LCM(1571,1578) = 2479038 / 1
LCM(1571,1578) = 2479038

Properties of LCM 1571 and 1578

(i) The LCM of 1578 and 1571 is associative

LCM of 1571 and 1578 = LCM of 1578 and 1571

Related Least Common Multiples of 1571

Related Least Common Multiples of 1578

Frequently Asked Questions on LCM of 1571 and 1578

1. What is the LCM of 1571 and 1578?

Answer: LCM of 1571 and 1578 is 2479038.

2. 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.

3. What are the Factors of 1578?

Answer: Factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578. There are 8 integers that are factors of 1578. The greatest factor of 1578 is 1578.

4. How to Find the LCM of 1571 and 1578?

Answer:

Least Common Multiple of 1571 and 1578 = 2479038

Step 1: Find the prime factorization of 1571

1571 = 1571

Step 2: Find the prime factorization of 1578

1578 = 2 x 3 x 263

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

LCM = 2479038 = 2 x 3 x 263 x 1571

Step 4: Therefore, the least common multiple of 1571 and 1578 is 2479038.