Least Common Multiple of 4578 and 4585

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 4585 the smallest integer that is 2998590 that is divisible by both numbers.

Least Common Multiple (LCM) of 4578 and 4585 is 2998590.

LCM(4578,4585) = 2998590

LCM of 4578 and 4585

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

LCM of:
and

Least Common Multiple of 4578 and 4585

LCM of 4578 and 4585 is 2998590

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4585. First we will calculate the prime factors of 4578 and 4585.

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 4585


5 4585
7 917
131 131
1

Prime factors of 4585 are 5, 7,131. Prime factorization of 4585 in exponential form is:

4585 = 51×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4578 and 4585.

LCM(4578,4585) = 21×31×51×71×1091×1311
LCM(4578,4585) = 2998590

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 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1, 5, 7, 35, 131, 655, 917, 4585

Least Common Multiple of 4578 and 4585 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 4585, than apply into the LCM equation.

GCF(4578,4585) = 7
LCM(4578,4585) = ( 4578 × 4585) / 7
LCM(4578,4585) = 20990130 / 7
LCM(4578,4585) = 2998590

Properties of LCM 4578 and 4585

(i) The LCM of 4585 and 4578 is associative

LCM of 4578 and 4585 = LCM of 4585 and 4578

Related Least Common Multiples of 4578

Related Least Common Multiples of 4585

Frequently Asked Questions on LCM of 4578 and 4585

1. What is the LCM of 4578 and 4585?

Answer: LCM of 4578 and 4585 is 2998590.

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 4585?

Answer: Factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585. There are 8 integers that are factors of 4585. The greatest factor of 4585 is 4585.

4. How to Find the LCM of 4578 and 4585?

Answer:

Least Common Multiple of 4578 and 4585 = 2998590

Step 1: Find the prime factorization of 4578

4578 = 2 x 3 x 7 x 109

Step 2: Find the prime factorization of 4585

4585 = 5 x 7 x 131

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

LCM = 2998590 = 2 x 3 x 5 x 7 x 109 x 131

Step 4: Therefore, the least common multiple of 4578 and 4585 is 2998590.