Least Common Multiple of 4572 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 4572 and 4576 the smallest integer that is 5230368 that is divisible by both numbers.

Least Common Multiple (LCM) of 4572 and 4576 is 5230368.

LCM(4572,4576) = 5230368

LCM of 4572 and 4576

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

LCM of:
and

Least Common Multiple of 4572 and 4576

LCM of 4572 and 4576 is 5230368

Least common multiple can be found by multiplying the highest exponent prime factors of 4572 and 4576. First we will calculate the prime factors of 4572 and 4576.

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

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 4572 and 4576.

LCM(4572,4576) = 25×32×111×131×1271
LCM(4572,4576) = 5230368

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

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 4572 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 4572 and 4576, than apply into the LCM equation.

GCF(4572,4576) = 4
LCM(4572,4576) = ( 4572 × 4576) / 4
LCM(4572,4576) = 20921472 / 4
LCM(4572,4576) = 5230368

Properties of LCM 4572 and 4576

(i) The LCM of 4576 and 4572 is associative

LCM of 4572 and 4576 = LCM of 4576 and 4572

Related Least Common Multiples of 4572

Related Least Common Multiples of 4576

Frequently Asked Questions on LCM of 4572 and 4576

1. What is the LCM of 4572 and 4576?

Answer: LCM of 4572 and 4576 is 5230368.

2. 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.

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 4572 and 4576?

Answer:

Least Common Multiple of 4572 and 4576 = 5230368

Step 1: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

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 = 5230368 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 4572 and 4576 is 5230368.