Least Common Multiple of 4563 and 4570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4563 and 4570 the smallest integer that is 20852910 that is divisible by both numbers.

Least Common Multiple (LCM) of 4563 and 4570 is 20852910.

LCM(4563,4570) = 20852910

LCM of 4563 and 4570

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

LCM of:
and

Least Common Multiple of 4563 and 4570

LCM of 4563 and 4570 is 20852910

Least common multiple can be found by multiplying the highest exponent prime factors of 4563 and 4570. First we will calculate the prime factors of 4563 and 4570.

Prime Factorization of 4563


3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 4563 are 3,13. Prime factorization of 4563 in exponential form is:

4563 = 33×132

Prime Factorization of 4570


2 4570
5 2285
457 457
1

Prime factors of 4570 are 2, 5,457. Prime factorization of 4570 in exponential form is:

4570 = 21×51×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 4563 and 4570.

LCM(4563,4570) = 21×33×51×132×4571
LCM(4563,4570) = 20852910

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563

Factors of 4570

List of positive integer factors of 4570 that divides 4570 without a remainder.

1, 2, 5, 10, 457, 914, 2285, 4570

Least Common Multiple of 4563 and 4570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4563 and 4570, than apply into the LCM equation.

GCF(4563,4570) = 1
LCM(4563,4570) = ( 4563 × 4570) / 1
LCM(4563,4570) = 20852910 / 1
LCM(4563,4570) = 20852910

Properties of LCM 4563 and 4570

(i) The LCM of 4570 and 4563 is associative

LCM of 4563 and 4570 = LCM of 4570 and 4563

Related Least Common Multiples of 4563

Related Least Common Multiples of 4570

Frequently Asked Questions on LCM of 4563 and 4570

1. What is the LCM of 4563 and 4570?

Answer: LCM of 4563 and 4570 is 20852910.

2. What are the Factors of 4563?

Answer: Factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563. There are 12 integers that are factors of 4563. The greatest factor of 4563 is 4563.

3. What are the Factors of 4570?

Answer: Factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570. There are 8 integers that are factors of 4570. The greatest factor of 4570 is 4570.

4. How to Find the LCM of 4563 and 4570?

Answer:

Least Common Multiple of 4563 and 4570 = 20852910

Step 1: Find the prime factorization of 4563

4563 = 3 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 4570

4570 = 2 x 5 x 457

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

LCM = 20852910 = 2 x 3 x 3 x 3 x 5 x 13 x 13 x 457

Step 4: Therefore, the least common multiple of 4563 and 4570 is 20852910.