Least Common Multiple of 4577 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 4577 and 4585 the smallest integer that is 20985545 that is divisible by both numbers.

Least Common Multiple (LCM) of 4577 and 4585 is 20985545.

LCM(4577,4585) = 20985545

LCM of 4577 and 4585

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

LCM of:
and

Least Common Multiple of 4577 and 4585

LCM of 4577 and 4585 is 20985545

Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4585. First we will calculate the prime factors of 4577 and 4585.

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 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 4577 and 4585.

LCM(4577,4585) = 51×71×231×1311×1991
LCM(4577,4585) = 20985545

Factors of 4577

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

1, 23, 199, 4577

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 4577 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 4577 and 4585, than apply into the LCM equation.

GCF(4577,4585) = 1
LCM(4577,4585) = ( 4577 × 4585) / 1
LCM(4577,4585) = 20985545 / 1
LCM(4577,4585) = 20985545

Properties of LCM 4577 and 4585

(i) The LCM of 4585 and 4577 is associative

LCM of 4577 and 4585 = LCM of 4585 and 4577

Related Least Common Multiples of 4577

Related Least Common Multiples of 4585

Frequently Asked Questions on LCM of 4577 and 4585

1. What is the LCM of 4577 and 4585?

Answer: LCM of 4577 and 4585 is 20985545.

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 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 4577 and 4585?

Answer:

Least Common Multiple of 4577 and 4585 = 20985545

Step 1: Find the prime factorization of 4577

4577 = 23 x 199

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 = 20985545 = 5 x 7 x 23 x 131 x 199

Step 4: Therefore, the least common multiple of 4577 and 4585 is 20985545.