Least Common Multiple of 1578 and 1585

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 1585 the smallest integer that is 2501130 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1585 is 2501130.

LCM(1578,1585) = 2501130

LCM of 1578 and 1585

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

LCM of:
and

Least Common Multiple of 1578 and 1585

LCM of 1578 and 1585 is 2501130

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1585. First we will calculate the prime factors of 1578 and 1585.

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 1585


5 1585
317 317
1

Prime factors of 1585 are 5,317. Prime factorization of 1585 in exponential form is:

1585 = 51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1585.

LCM(1578,1585) = 21×31×51×2631×3171
LCM(1578,1585) = 2501130

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 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1, 5, 317, 1585

Least Common Multiple of 1578 and 1585 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 1585, than apply into the LCM equation.

GCF(1578,1585) = 1
LCM(1578,1585) = ( 1578 × 1585) / 1
LCM(1578,1585) = 2501130 / 1
LCM(1578,1585) = 2501130

Properties of LCM 1578 and 1585

(i) The LCM of 1585 and 1578 is associative

LCM of 1578 and 1585 = LCM of 1585 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1585

Frequently Asked Questions on LCM of 1578 and 1585

1. What is the LCM of 1578 and 1585?

Answer: LCM of 1578 and 1585 is 2501130.

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 1585?

Answer: Factors of 1585 are 1, 5, 317, 1585. There are 4 integers that are factors of 1585. The greatest factor of 1585 is 1585.

4. How to Find the LCM of 1578 and 1585?

Answer:

Least Common Multiple of 1578 and 1585 = 2501130

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1585

1585 = 5 x 317

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

LCM = 2501130 = 2 x 3 x 5 x 263 x 317

Step 4: Therefore, the least common multiple of 1578 and 1585 is 2501130.