Least Common Multiple of 4564 and 4567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4564 and 4567 the smallest integer that is 20843788 that is divisible by both numbers.

Least Common Multiple (LCM) of 4564 and 4567 is 20843788.

LCM(4564,4567) = 20843788

LCM of 4564 and 4567

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

LCM of:
and

Least Common Multiple of 4564 and 4567

LCM of 4564 and 4567 is 20843788

Least common multiple can be found by multiplying the highest exponent prime factors of 4564 and 4567. First we will calculate the prime factors of 4564 and 4567.

Prime Factorization of 4564


2 4564
2 2282
7 1141
163 163
1

Prime factors of 4564 are 2, 7,163. Prime factorization of 4564 in exponential form is:

4564 = 22×71×1631

Prime Factorization of 4567


4567 4567
1

Prime factors of 4567 are 4567. Prime factorization of 4567 in exponential form is:

4567 = 45671

Now multiplying the highest exponent prime factors to calculate the LCM of 4564 and 4567.

LCM(4564,4567) = 22×71×1631×45671
LCM(4564,4567) = 20843788

Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1, 4567

Least Common Multiple of 4564 and 4567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4564 and 4567, than apply into the LCM equation.

GCF(4564,4567) = 1
LCM(4564,4567) = ( 4564 × 4567) / 1
LCM(4564,4567) = 20843788 / 1
LCM(4564,4567) = 20843788

Properties of LCM 4564 and 4567

(i) The LCM of 4567 and 4564 is associative

LCM of 4564 and 4567 = LCM of 4567 and 4564

Related Least Common Multiples of 4564

Related Least Common Multiples of 4567

Frequently Asked Questions on LCM of 4564 and 4567

1. What is the LCM of 4564 and 4567?

Answer: LCM of 4564 and 4567 is 20843788.

2. What are the Factors of 4564?

Answer: Factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564. There are 12 integers that are factors of 4564. The greatest factor of 4564 is 4564.

3. What are the Factors of 4567?

Answer: Factors of 4567 are 1, 4567. There are 2 integers that are factors of 4567. The greatest factor of 4567 is 4567.

4. How to Find the LCM of 4564 and 4567?

Answer:

Least Common Multiple of 4564 and 4567 = 20843788

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4567

4567 = 4567

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

LCM = 20843788 = 2 x 2 x 7 x 163 x 4567

Step 4: Therefore, the least common multiple of 4564 and 4567 is 20843788.