Least Common Multiple of 1573 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 1573 and 1579 the smallest integer that is 2483767 that is divisible by both numbers.

Least Common Multiple (LCM) of 1573 and 1579 is 2483767.

LCM(1573,1579) = 2483767

LCM of 1573 and 1579

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

LCM of:
and

Least Common Multiple of 1573 and 1579

LCM of 1573 and 1579 is 2483767

Least common multiple can be found by multiplying the highest exponent prime factors of 1573 and 1579. First we will calculate the prime factors of 1573 and 1579.

Prime Factorization of 1573


11 1573
11 143
13 13
1

Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:

1573 = 112×131

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 1573 and 1579.

LCM(1573,1579) = 112×131×15791
LCM(1573,1579) = 2483767

Factors of 1573

List of positive integer factors of 1573 that divides 1573 without a remainder.

1, 11, 13, 121, 143, 1573

Factors of 1579

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

1, 1579

Least Common Multiple of 1573 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 1573 and 1579, than apply into the LCM equation.

GCF(1573,1579) = 1
LCM(1573,1579) = ( 1573 × 1579) / 1
LCM(1573,1579) = 2483767 / 1
LCM(1573,1579) = 2483767

Properties of LCM 1573 and 1579

(i) The LCM of 1579 and 1573 is associative

LCM of 1573 and 1579 = LCM of 1579 and 1573

Related Least Common Multiples of 1573

Related Least Common Multiples of 1579

Frequently Asked Questions on LCM of 1573 and 1579

1. What is the LCM of 1573 and 1579?

Answer: LCM of 1573 and 1579 is 2483767.

2. What are the Factors of 1573?

Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.

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 1573 and 1579?

Answer:

Least Common Multiple of 1573 and 1579 = 2483767

Step 1: Find the prime factorization of 1573

1573 = 11 x 11 x 13

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 = 2483767 = 11 x 11 x 13 x 1579

Step 4: Therefore, the least common multiple of 1573 and 1579 is 2483767.