Least Common Multiple of 576 and 577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 576 and 577 the smallest integer that is 332352 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 577 is 332352.

LCM(576,577) = 332352

LCM of 576 and 577

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

LCM of:
and

Least Common Multiple of 576 and 577

LCM of 576 and 577 is 332352

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 577. First we will calculate the prime factors of 576 and 577.

Prime Factorization of 576


2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 576 are 2,3. Prime factorization of 576 in exponential form is:

576 = 26×32

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 577.

LCM(576,577) = 26×32×5771
LCM(576,577) = 332352

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1, 577

Least Common Multiple of 576 and 577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 576 and 577, than apply into the LCM equation.

GCF(576,577) = 1
LCM(576,577) = ( 576 × 577) / 1
LCM(576,577) = 332352 / 1
LCM(576,577) = 332352

Properties of LCM 576 and 577

(i) The LCM of 577 and 576 is associative

LCM of 576 and 577 = LCM of 577 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 577

Frequently Asked Questions on LCM of 576 and 577

1. What is the LCM of 576 and 577?

Answer: LCM of 576 and 577 is 332352.

2. What are the Factors of 576?

Answer: Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. There are 21 integers that are factors of 576. The greatest factor of 576 is 576.

3. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

4. How to Find the LCM of 576 and 577?

Answer:

Least Common Multiple of 576 and 577 = 332352

Step 1: Find the prime factorization of 576

576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 577

577 = 577

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

LCM = 332352 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 577

Step 4: Therefore, the least common multiple of 576 and 577 is 332352.