Least Common Multiple of 1573 and 1575

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 1575 the smallest integer that is 2477475 that is divisible by both numbers.

Least Common Multiple (LCM) of 1573 and 1575 is 2477475.

LCM(1573,1575) = 2477475

LCM of 1573 and 1575

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

LCM of:
and

Least Common Multiple of 1573 and 1575

LCM of 1573 and 1575 is 2477475

Least common multiple can be found by multiplying the highest exponent prime factors of 1573 and 1575. First we will calculate the prime factors of 1573 and 1575.

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 1575


3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 1575 are 3, 5,7. Prime factorization of 1575 in exponential form is:

1575 = 32×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1573 and 1575.

LCM(1573,1575) = 32×52×71×112×131
LCM(1573,1575) = 2477475

Factors of 1573

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

1, 11, 13, 121, 143, 1573

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575

Least Common Multiple of 1573 and 1575 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 1575, than apply into the LCM equation.

GCF(1573,1575) = 1
LCM(1573,1575) = ( 1573 × 1575) / 1
LCM(1573,1575) = 2477475 / 1
LCM(1573,1575) = 2477475

Properties of LCM 1573 and 1575

(i) The LCM of 1575 and 1573 is associative

LCM of 1573 and 1575 = LCM of 1575 and 1573

Related Least Common Multiples of 1573

Related Least Common Multiples of 1575

Frequently Asked Questions on LCM of 1573 and 1575

1. What is the LCM of 1573 and 1575?

Answer: LCM of 1573 and 1575 is 2477475.

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 1575?

Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.

4. How to Find the LCM of 1573 and 1575?

Answer:

Least Common Multiple of 1573 and 1575 = 2477475

Step 1: Find the prime factorization of 1573

1573 = 11 x 11 x 13

Step 2: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

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

LCM = 2477475 = 3 x 3 x 5 x 5 x 7 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 1573 and 1575 is 2477475.