Least Common Multiple of 4566 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 4566 and 4570 the smallest integer that is 10433310 that is divisible by both numbers.

Least Common Multiple (LCM) of 4566 and 4570 is 10433310.

LCM(4566,4570) = 10433310

LCM of 4566 and 4570

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

LCM of:
and

Least Common Multiple of 4566 and 4570

LCM of 4566 and 4570 is 10433310

Least common multiple can be found by multiplying the highest exponent prime factors of 4566 and 4570. First we will calculate the prime factors of 4566 and 4570.

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

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 4566 and 4570.

LCM(4566,4570) = 21×31×51×4571×7611
LCM(4566,4570) = 10433310

Factors of 4566

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

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

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 4566 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 4566 and 4570, than apply into the LCM equation.

GCF(4566,4570) = 2
LCM(4566,4570) = ( 4566 × 4570) / 2
LCM(4566,4570) = 20866620 / 2
LCM(4566,4570) = 10433310

Properties of LCM 4566 and 4570

(i) The LCM of 4570 and 4566 is associative

LCM of 4566 and 4570 = LCM of 4570 and 4566

Related Least Common Multiples of 4566

Related Least Common Multiples of 4570

Frequently Asked Questions on LCM of 4566 and 4570

1. What is the LCM of 4566 and 4570?

Answer: LCM of 4566 and 4570 is 10433310.

2. 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.

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 4566 and 4570?

Answer:

Least Common Multiple of 4566 and 4570 = 10433310

Step 1: Find the prime factorization of 4566

4566 = 2 x 3 x 761

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 = 10433310 = 2 x 3 x 5 x 457 x 761

Step 4: Therefore, the least common multiple of 4566 and 4570 is 10433310.