Least Common Multiple of 4568 and 4572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4568 and 4572 the smallest integer that is 5221224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4568 and 4572 is 5221224.

LCM(4568,4572) = 5221224

LCM of 4568 and 4572

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

LCM of:
and

Least Common Multiple of 4568 and 4572

LCM of 4568 and 4572 is 5221224

Least common multiple can be found by multiplying the highest exponent prime factors of 4568 and 4572. First we will calculate the prime factors of 4568 and 4572.

Prime Factorization of 4568


2 4568
2 2284
2 1142
571 571
1

Prime factors of 4568 are 2,571. Prime factorization of 4568 in exponential form is:

4568 = 23×5711

Prime Factorization of 4572


2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 4572 are 2, 3,127. Prime factorization of 4572 in exponential form is:

4572 = 22×32×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4568 and 4572.

LCM(4568,4572) = 23×32×1271×5711
LCM(4568,4572) = 5221224

Factors of 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1, 2, 4, 8, 571, 1142, 2284, 4568

Factors of 4572

List of positive integer factors of 4572 that divides 4572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572

Least Common Multiple of 4568 and 4572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4568 and 4572, than apply into the LCM equation.

GCF(4568,4572) = 4
LCM(4568,4572) = ( 4568 × 4572) / 4
LCM(4568,4572) = 20884896 / 4
LCM(4568,4572) = 5221224

Properties of LCM 4568 and 4572

(i) The LCM of 4572 and 4568 is associative

LCM of 4568 and 4572 = LCM of 4572 and 4568

Related Least Common Multiples of 4568

Related Least Common Multiples of 4572

Frequently Asked Questions on LCM of 4568 and 4572

1. What is the LCM of 4568 and 4572?

Answer: LCM of 4568 and 4572 is 5221224.

2. What are the Factors of 4568?

Answer: Factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568. There are 8 integers that are factors of 4568. The greatest factor of 4568 is 4568.

3. What are the Factors of 4572?

Answer: Factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572. There are 18 integers that are factors of 4572. The greatest factor of 4572 is 4572.

4. How to Find the LCM of 4568 and 4572?

Answer:

Least Common Multiple of 4568 and 4572 = 5221224

Step 1: Find the prime factorization of 4568

4568 = 2 x 2 x 2 x 571

Step 2: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

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

LCM = 5221224 = 2 x 2 x 2 x 3 x 3 x 127 x 571

Step 4: Therefore, the least common multiple of 4568 and 4572 is 5221224.