Least Common Multiple of 4570 and 4576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4570 and 4576 the smallest integer that is 10456160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4570 and 4576 is 10456160.

LCM(4570,4576) = 10456160

LCM of 4570 and 4576

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

LCM of:
and

Least Common Multiple of 4570 and 4576

LCM of 4570 and 4576 is 10456160

Least common multiple can be found by multiplying the highest exponent prime factors of 4570 and 4576. First we will calculate the prime factors of 4570 and 4576.

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

Prime Factorization of 4576


2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 4576 are 2, 11,13. Prime factorization of 4576 in exponential form is:

4576 = 25×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4570 and 4576.

LCM(4570,4576) = 25×51×111×131×4571
LCM(4570,4576) = 10456160

Factors of 4570

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

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

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576

Least Common Multiple of 4570 and 4576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4570 and 4576, than apply into the LCM equation.

GCF(4570,4576) = 2
LCM(4570,4576) = ( 4570 × 4576) / 2
LCM(4570,4576) = 20912320 / 2
LCM(4570,4576) = 10456160

Properties of LCM 4570 and 4576

(i) The LCM of 4576 and 4570 is associative

LCM of 4570 and 4576 = LCM of 4576 and 4570

Related Least Common Multiples of 4570

Related Least Common Multiples of 4576

Frequently Asked Questions on LCM of 4570 and 4576

1. What is the LCM of 4570 and 4576?

Answer: LCM of 4570 and 4576 is 10456160.

2. 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.

3. What are the Factors of 4576?

Answer: Factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576. There are 24 integers that are factors of 4576. The greatest factor of 4576 is 4576.

4. How to Find the LCM of 4570 and 4576?

Answer:

Least Common Multiple of 4570 and 4576 = 10456160

Step 1: Find the prime factorization of 4570

4570 = 2 x 5 x 457

Step 2: Find the prime factorization of 4576

4576 = 2 x 2 x 2 x 2 x 2 x 11 x 13

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

LCM = 10456160 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 457

Step 4: Therefore, the least common multiple of 4570 and 4576 is 10456160.