Least Common Multiple of 4564 and 4566

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 4566 the smallest integer that is 10419612 that is divisible by both numbers.

Least Common Multiple (LCM) of 4564 and 4566 is 10419612.

LCM(4564,4566) = 10419612

LCM of 4564 and 4566

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

LCM of:
and

Least Common Multiple of 4564 and 4566

LCM of 4564 and 4566 is 10419612

Least common multiple can be found by multiplying the highest exponent prime factors of 4564 and 4566. First we will calculate the prime factors of 4564 and 4566.

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 4566


2 4566
3 2283
761 761
1

Prime factors of 4566 are 2, 3,761. Prime factorization of 4566 in exponential form is:

4566 = 21×31×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 4564 and 4566.

LCM(4564,4566) = 22×31×71×1631×7611
LCM(4564,4566) = 10419612

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 4566

List of positive integer factors of 4566 that divides 4566 without a remainder.

1, 2, 3, 6, 761, 1522, 2283, 4566

Least Common Multiple of 4564 and 4566 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 4566, than apply into the LCM equation.

GCF(4564,4566) = 2
LCM(4564,4566) = ( 4564 × 4566) / 2
LCM(4564,4566) = 20839224 / 2
LCM(4564,4566) = 10419612

Properties of LCM 4564 and 4566

(i) The LCM of 4566 and 4564 is associative

LCM of 4564 and 4566 = LCM of 4566 and 4564

Related Least Common Multiples of 4564

Related Least Common Multiples of 4566

Frequently Asked Questions on LCM of 4564 and 4566

1. What is the LCM of 4564 and 4566?

Answer: LCM of 4564 and 4566 is 10419612.

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 4566?

Answer: Factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566. There are 8 integers that are factors of 4566. The greatest factor of 4566 is 4566.

4. How to Find the LCM of 4564 and 4566?

Answer:

Least Common Multiple of 4564 and 4566 = 10419612

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4566

4566 = 2 x 3 x 761

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

LCM = 10419612 = 2 x 2 x 3 x 7 x 163 x 761

Step 4: Therefore, the least common multiple of 4564 and 4566 is 10419612.