Least Common Multiple of 1578 and 1586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1578 and 1586 the smallest integer that is 1251354 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1586 is 1251354.

LCM(1578,1586) = 1251354

LCM of 1578 and 1586

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

LCM of:
and

Least Common Multiple of 1578 and 1586

LCM of 1578 and 1586 is 1251354

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1586. First we will calculate the prime factors of 1578 and 1586.

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

Prime Factorization of 1586


2 1586
13 793
61 61
1

Prime factors of 1586 are 2, 13,61. Prime factorization of 1586 in exponential form is:

1586 = 21×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1586.

LCM(1578,1586) = 21×31×131×611×2631
LCM(1578,1586) = 1251354

Factors of 1578

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

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

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1, 2, 13, 26, 61, 122, 793, 1586

Least Common Multiple of 1578 and 1586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1578 and 1586, than apply into the LCM equation.

GCF(1578,1586) = 2
LCM(1578,1586) = ( 1578 × 1586) / 2
LCM(1578,1586) = 2502708 / 2
LCM(1578,1586) = 1251354

Properties of LCM 1578 and 1586

(i) The LCM of 1586 and 1578 is associative

LCM of 1578 and 1586 = LCM of 1586 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1586

Frequently Asked Questions on LCM of 1578 and 1586

1. What is the LCM of 1578 and 1586?

Answer: LCM of 1578 and 1586 is 1251354.

2. 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.

3. What are the Factors of 1586?

Answer: Factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586. There are 8 integers that are factors of 1586. The greatest factor of 1586 is 1586.

4. How to Find the LCM of 1578 and 1586?

Answer:

Least Common Multiple of 1578 and 1586 = 1251354

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1586

1586 = 2 x 13 x 61

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

LCM = 1251354 = 2 x 3 x 13 x 61 x 263

Step 4: Therefore, the least common multiple of 1578 and 1586 is 1251354.