Least Common Multiple of 4578 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 4578 and 4584 the smallest integer that is 3497592 that is divisible by both numbers.

Least Common Multiple (LCM) of 4578 and 4584 is 3497592.

LCM(4578,4584) = 3497592

LCM of 4578 and 4584

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

LCM of:
and

Least Common Multiple of 4578 and 4584

LCM of 4578 and 4584 is 3497592

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4584. First we will calculate the prime factors of 4578 and 4584.

Prime Factorization of 4578


2 4578
3 2289
7 763
109 109
1

Prime factors of 4578 are 2, 3, 7,109. Prime factorization of 4578 in exponential form is:

4578 = 21×31×71×1091

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 4578 and 4584.

LCM(4578,4584) = 23×31×71×1091×1911
LCM(4578,4584) = 3497592

Factors of 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578

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 4578 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 4578 and 4584, than apply into the LCM equation.

GCF(4578,4584) = 6
LCM(4578,4584) = ( 4578 × 4584) / 6
LCM(4578,4584) = 20985552 / 6
LCM(4578,4584) = 3497592

Properties of LCM 4578 and 4584

(i) The LCM of 4584 and 4578 is associative

LCM of 4578 and 4584 = LCM of 4584 and 4578

Related Least Common Multiples of 4578

Related Least Common Multiples of 4584

Frequently Asked Questions on LCM of 4578 and 4584

1. What is the LCM of 4578 and 4584?

Answer: LCM of 4578 and 4584 is 3497592.

2. What are the Factors of 4578?

Answer: Factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578. There are 16 integers that are factors of 4578. The greatest factor of 4578 is 4578.

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 4578 and 4584?

Answer:

Least Common Multiple of 4578 and 4584 = 3497592

Step 1: Find the prime factorization of 4578

4578 = 2 x 3 x 7 x 109

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 = 3497592 = 2 x 2 x 2 x 3 x 7 x 109 x 191

Step 4: Therefore, the least common multiple of 4578 and 4584 is 3497592.