Least Common Multiple of 4577 and 4581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4577 and 4581 the smallest integer that is 20967237 that is divisible by both numbers.

Least Common Multiple (LCM) of 4577 and 4581 is 20967237.

LCM(4577,4581) = 20967237

LCM of 4577 and 4581

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

LCM of:
and

Least Common Multiple of 4577 and 4581

LCM of 4577 and 4581 is 20967237

Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4581. First we will calculate the prime factors of 4577 and 4581.

Prime Factorization of 4577


23 4577
199 199
1

Prime factors of 4577 are 23,199. Prime factorization of 4577 in exponential form is:

4577 = 231×1991

Prime Factorization of 4581


3 4581
3 1527
509 509
1

Prime factors of 4581 are 3,509. Prime factorization of 4581 in exponential form is:

4581 = 32×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 4577 and 4581.

LCM(4577,4581) = 32×231×1991×5091
LCM(4577,4581) = 20967237

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1, 23, 199, 4577

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1, 3, 9, 509, 1527, 4581

Least Common Multiple of 4577 and 4581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4577 and 4581, than apply into the LCM equation.

GCF(4577,4581) = 1
LCM(4577,4581) = ( 4577 × 4581) / 1
LCM(4577,4581) = 20967237 / 1
LCM(4577,4581) = 20967237

Properties of LCM 4577 and 4581

(i) The LCM of 4581 and 4577 is associative

LCM of 4577 and 4581 = LCM of 4581 and 4577

Related Least Common Multiples of 4577

Related Least Common Multiples of 4581

Frequently Asked Questions on LCM of 4577 and 4581

1. What is the LCM of 4577 and 4581?

Answer: LCM of 4577 and 4581 is 20967237.

2. What are the Factors of 4577?

Answer: Factors of 4577 are 1, 23, 199, 4577. There are 4 integers that are factors of 4577. The greatest factor of 4577 is 4577.

3. What are the Factors of 4581?

Answer: Factors of 4581 are 1, 3, 9, 509, 1527, 4581. There are 6 integers that are factors of 4581. The greatest factor of 4581 is 4581.

4. How to Find the LCM of 4577 and 4581?

Answer:

Least Common Multiple of 4577 and 4581 = 20967237

Step 1: Find the prime factorization of 4577

4577 = 23 x 199

Step 2: Find the prime factorization of 4581

4581 = 3 x 3 x 509

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

LCM = 20967237 = 3 x 3 x 23 x 199 x 509

Step 4: Therefore, the least common multiple of 4577 and 4581 is 20967237.