Least Common Multiple of 1578 and 1583

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 1583 the smallest integer that is 2497974 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1583 is 2497974.

LCM(1578,1583) = 2497974

LCM of 1578 and 1583

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

LCM of:
and

Least Common Multiple of 1578 and 1583

LCM of 1578 and 1583 is 2497974

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1583. First we will calculate the prime factors of 1578 and 1583.

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 1583


1583 1583
1

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1583.

LCM(1578,1583) = 21×31×2631×15831
LCM(1578,1583) = 2497974

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 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1, 1583

Least Common Multiple of 1578 and 1583 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 1583, than apply into the LCM equation.

GCF(1578,1583) = 1
LCM(1578,1583) = ( 1578 × 1583) / 1
LCM(1578,1583) = 2497974 / 1
LCM(1578,1583) = 2497974

Properties of LCM 1578 and 1583

(i) The LCM of 1583 and 1578 is associative

LCM of 1578 and 1583 = LCM of 1583 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1583

Frequently Asked Questions on LCM of 1578 and 1583

1. What is the LCM of 1578 and 1583?

Answer: LCM of 1578 and 1583 is 2497974.

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 1583?

Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.

4. How to Find the LCM of 1578 and 1583?

Answer:

Least Common Multiple of 1578 and 1583 = 2497974

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1583

1583 = 1583

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

LCM = 2497974 = 2 x 3 x 263 x 1583

Step 4: Therefore, the least common multiple of 1578 and 1583 is 2497974.