Least Common Multiple of 4585 and 4591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4585 and 4591 the smallest integer that is 21049735 that is divisible by both numbers.

Least Common Multiple (LCM) of 4585 and 4591 is 21049735.

LCM(4585,4591) = 21049735

LCM of 4585 and 4591

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

LCM of:
and

Least Common Multiple of 4585 and 4591

LCM of 4585 and 4591 is 21049735

Least common multiple can be found by multiplying the highest exponent prime factors of 4585 and 4591. First we will calculate the prime factors of 4585 and 4591.

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

Prime Factorization of 4591


4591 4591
1

Prime factors of 4591 are 4591. Prime factorization of 4591 in exponential form is:

4591 = 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 4585 and 4591.

LCM(4585,4591) = 51×71×1311×45911
LCM(4585,4591) = 21049735

Factors of 4585

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

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

Factors of 4591

List of positive integer factors of 4591 that divides 4591 without a remainder.

1, 4591

Least Common Multiple of 4585 and 4591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4585 and 4591, than apply into the LCM equation.

GCF(4585,4591) = 1
LCM(4585,4591) = ( 4585 × 4591) / 1
LCM(4585,4591) = 21049735 / 1
LCM(4585,4591) = 21049735

Properties of LCM 4585 and 4591

(i) The LCM of 4591 and 4585 is associative

LCM of 4585 and 4591 = LCM of 4591 and 4585

Related Least Common Multiples of 4585

Related Least Common Multiples of 4591

Frequently Asked Questions on LCM of 4585 and 4591

1. What is the LCM of 4585 and 4591?

Answer: LCM of 4585 and 4591 is 21049735.

2. 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.

3. What are the Factors of 4591?

Answer: Factors of 4591 are 1, 4591. There are 2 integers that are factors of 4591. The greatest factor of 4591 is 4591.

4. How to Find the LCM of 4585 and 4591?

Answer:

Least Common Multiple of 4585 and 4591 = 21049735

Step 1: Find the prime factorization of 4585

4585 = 5 x 7 x 131

Step 2: Find the prime factorization of 4591

4591 = 4591

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

LCM = 21049735 = 5 x 7 x 131 x 4591

Step 4: Therefore, the least common multiple of 4585 and 4591 is 21049735.