Least Common Multiple of 4577 and 4584

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 4584 the smallest integer that is 20980968 that is divisible by both numbers.

Least Common Multiple (LCM) of 4577 and 4584 is 20980968.

LCM(4577,4584) = 20980968

LCM of 4577 and 4584

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

LCM of:
and

Least Common Multiple of 4577 and 4584

LCM of 4577 and 4584 is 20980968

Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4584. First we will calculate the prime factors of 4577 and 4584.

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 4584


2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 4584 are 2, 3,191. Prime factorization of 4584 in exponential form is:

4584 = 23×31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4577 and 4584.

LCM(4577,4584) = 23×31×231×1911×1991
LCM(4577,4584) = 20980968

Factors of 4577

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

1, 23, 199, 4577

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584

Least Common Multiple of 4577 and 4584 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 4584, than apply into the LCM equation.

GCF(4577,4584) = 1
LCM(4577,4584) = ( 4577 × 4584) / 1
LCM(4577,4584) = 20980968 / 1
LCM(4577,4584) = 20980968

Properties of LCM 4577 and 4584

(i) The LCM of 4584 and 4577 is associative

LCM of 4577 and 4584 = LCM of 4584 and 4577

Related Least Common Multiples of 4577

Related Least Common Multiples of 4584

Frequently Asked Questions on LCM of 4577 and 4584

1. What is the LCM of 4577 and 4584?

Answer: LCM of 4577 and 4584 is 20980968.

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 4584?

Answer: Factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584. There are 16 integers that are factors of 4584. The greatest factor of 4584 is 4584.

4. How to Find the LCM of 4577 and 4584?

Answer:

Least Common Multiple of 4577 and 4584 = 20980968

Step 1: Find the prime factorization of 4577

4577 = 23 x 199

Step 2: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

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

LCM = 20980968 = 2 x 2 x 2 x 3 x 23 x 191 x 199

Step 4: Therefore, the least common multiple of 4577 and 4584 is 20980968.