Least Common Multiple of 4569 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 4569 and 4575 the smallest integer that is 6967725 that is divisible by both numbers.

Least Common Multiple (LCM) of 4569 and 4575 is 6967725.

LCM(4569,4575) = 6967725

LCM of 4569 and 4575

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

LCM of:
and

Least Common Multiple of 4569 and 4575

LCM of 4569 and 4575 is 6967725

Least common multiple can be found by multiplying the highest exponent prime factors of 4569 and 4575. First we will calculate the prime factors of 4569 and 4575.

Prime Factorization of 4569


3 4569
1523 1523
1

Prime factors of 4569 are 3,1523. Prime factorization of 4569 in exponential form is:

4569 = 31×15231

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 4569 and 4575.

LCM(4569,4575) = 31×52×611×15231
LCM(4569,4575) = 6967725

Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1, 3, 1523, 4569

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 4569 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 4569 and 4575, than apply into the LCM equation.

GCF(4569,4575) = 3
LCM(4569,4575) = ( 4569 × 4575) / 3
LCM(4569,4575) = 20903175 / 3
LCM(4569,4575) = 6967725

Properties of LCM 4569 and 4575

(i) The LCM of 4575 and 4569 is associative

LCM of 4569 and 4575 = LCM of 4575 and 4569

Related Least Common Multiples of 4569

Related Least Common Multiples of 4575

Frequently Asked Questions on LCM of 4569 and 4575

1. What is the LCM of 4569 and 4575?

Answer: LCM of 4569 and 4575 is 6967725.

2. What are the Factors of 4569?

Answer: Factors of 4569 are 1, 3, 1523, 4569. There are 4 integers that are factors of 4569. The greatest factor of 4569 is 4569.

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 4569 and 4575?

Answer:

Least Common Multiple of 4569 and 4575 = 6967725

Step 1: Find the prime factorization of 4569

4569 = 3 x 1523

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 = 6967725 = 3 x 5 x 5 x 61 x 1523

Step 4: Therefore, the least common multiple of 4569 and 4575 is 6967725.