Least Common Multiple of 1578 and 1579

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 1579 the smallest integer that is 2491662 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1579 is 2491662.

LCM(1578,1579) = 2491662

LCM of 1578 and 1579

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

LCM of:
and

Least Common Multiple of 1578 and 1579

LCM of 1578 and 1579 is 2491662

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1579. First we will calculate the prime factors of 1578 and 1579.

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 1579


1579 1579
1

Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:

1579 = 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1579.

LCM(1578,1579) = 21×31×2631×15791
LCM(1578,1579) = 2491662

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 1579

List of positive integer factors of 1579 that divides 1579 without a remainder.

1, 1579

Least Common Multiple of 1578 and 1579 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 1579, than apply into the LCM equation.

GCF(1578,1579) = 1
LCM(1578,1579) = ( 1578 × 1579) / 1
LCM(1578,1579) = 2491662 / 1
LCM(1578,1579) = 2491662

Properties of LCM 1578 and 1579

(i) The LCM of 1579 and 1578 is associative

LCM of 1578 and 1579 = LCM of 1579 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1579

Frequently Asked Questions on LCM of 1578 and 1579

1. What is the LCM of 1578 and 1579?

Answer: LCM of 1578 and 1579 is 2491662.

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 1579?

Answer: Factors of 1579 are 1, 1579. There are 2 integers that are factors of 1579. The greatest factor of 1579 is 1579.

4. How to Find the LCM of 1578 and 1579?

Answer:

Least Common Multiple of 1578 and 1579 = 2491662

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1579

1579 = 1579

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

LCM = 2491662 = 2 x 3 x 263 x 1579

Step 4: Therefore, the least common multiple of 1578 and 1579 is 2491662.