Least Common Multiple of 4571 and 4575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4571 and 4575 the smallest integer that is 20912325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4571 and 4575 is 20912325.

LCM(4571,4575) = 20912325

LCM of 4571 and 4575

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

LCM of:
and

Least Common Multiple of 4571 and 4575

LCM of 4571 and 4575 is 20912325

Least common multiple can be found by multiplying the highest exponent prime factors of 4571 and 4575. First we will calculate the prime factors of 4571 and 4575.

Prime Factorization of 4571


7 4571
653 653
1

Prime factors of 4571 are 7,653. Prime factorization of 4571 in exponential form is:

4571 = 71×6531

Prime Factorization of 4575


3 4575
5 1525
5 305
61 61
1

Prime factors of 4575 are 3, 5,61. Prime factorization of 4575 in exponential form is:

4575 = 31×52×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4571 and 4575.

LCM(4571,4575) = 31×52×71×611×6531
LCM(4571,4575) = 20912325

Factors of 4571

List of positive integer factors of 4571 that divides 4571 without a remainder.

1, 7, 653, 4571

Factors of 4575

List of positive integer factors of 4575 that divides 4575 without a remainder.

1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575

Least Common Multiple of 4571 and 4575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4571 and 4575, than apply into the LCM equation.

GCF(4571,4575) = 1
LCM(4571,4575) = ( 4571 × 4575) / 1
LCM(4571,4575) = 20912325 / 1
LCM(4571,4575) = 20912325

Properties of LCM 4571 and 4575

(i) The LCM of 4575 and 4571 is associative

LCM of 4571 and 4575 = LCM of 4575 and 4571

Related Least Common Multiples of 4571

Related Least Common Multiples of 4575

Frequently Asked Questions on LCM of 4571 and 4575

1. What is the LCM of 4571 and 4575?

Answer: LCM of 4571 and 4575 is 20912325.

2. What are the Factors of 4571?

Answer: Factors of 4571 are 1, 7, 653, 4571. There are 4 integers that are factors of 4571. The greatest factor of 4571 is 4571.

3. What are the Factors of 4575?

Answer: Factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575. There are 12 integers that are factors of 4575. The greatest factor of 4575 is 4575.

4. How to Find the LCM of 4571 and 4575?

Answer:

Least Common Multiple of 4571 and 4575 = 20912325

Step 1: Find the prime factorization of 4571

4571 = 7 x 653

Step 2: Find the prime factorization of 4575

4575 = 3 x 5 x 5 x 61

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

LCM = 20912325 = 3 x 5 x 5 x 7 x 61 x 653

Step 4: Therefore, the least common multiple of 4571 and 4575 is 20912325.