Least Common Multiple of 1571 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 1571 and 1575 the smallest integer that is 2474325 that is divisible by both numbers.

Least Common Multiple (LCM) of 1571 and 1575 is 2474325.

LCM(1571,1575) = 2474325

LCM of 1571 and 1575

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

LCM of:
and

Least Common Multiple of 1571 and 1575

LCM of 1571 and 1575 is 2474325

Least common multiple can be found by multiplying the highest exponent prime factors of 1571 and 1575. First we will calculate the prime factors of 1571 and 1575.

Prime Factorization of 1571


1571 1571
1

Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:

1571 = 15711

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 1571 and 1575.

LCM(1571,1575) = 32×52×71×15711
LCM(1571,1575) = 2474325

Factors of 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1, 1571

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 1571 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 1571 and 1575, than apply into the LCM equation.

GCF(1571,1575) = 1
LCM(1571,1575) = ( 1571 × 1575) / 1
LCM(1571,1575) = 2474325 / 1
LCM(1571,1575) = 2474325

Properties of LCM 1571 and 1575

(i) The LCM of 1575 and 1571 is associative

LCM of 1571 and 1575 = LCM of 1575 and 1571

Related Least Common Multiples of 1571

Related Least Common Multiples of 1575

Frequently Asked Questions on LCM of 1571 and 1575

1. What is the LCM of 1571 and 1575?

Answer: LCM of 1571 and 1575 is 2474325.

2. What are the Factors of 1571?

Answer: Factors of 1571 are 1, 1571. There are 2 integers that are factors of 1571. The greatest factor of 1571 is 1571.

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 1571 and 1575?

Answer:

Least Common Multiple of 1571 and 1575 = 2474325

Step 1: Find the prime factorization of 1571

1571 = 1571

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 = 2474325 = 3 x 3 x 5 x 5 x 7 x 1571

Step 4: Therefore, the least common multiple of 1571 and 1575 is 2474325.