Least Common Multiple of 4592 and 4597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4592 and 4597 the smallest integer that is 21109424 that is divisible by both numbers.

Least Common Multiple (LCM) of 4592 and 4597 is 21109424.

LCM(4592,4597) = 21109424

LCM of 4592 and 4597

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

LCM of:
and

Least Common Multiple of 4592 and 4597

LCM of 4592 and 4597 is 21109424

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4597. First we will calculate the prime factors of 4592 and 4597.

Prime Factorization of 4592


2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 4592 are 2, 7,41. Prime factorization of 4592 in exponential form is:

4592 = 24×71×411

Prime Factorization of 4597


4597 4597
1

Prime factors of 4597 are 4597. Prime factorization of 4597 in exponential form is:

4597 = 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 4592 and 4597.

LCM(4592,4597) = 24×71×411×45971
LCM(4592,4597) = 21109424

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592

Factors of 4597

List of positive integer factors of 4597 that divides 4597 without a remainder.

1, 4597

Least Common Multiple of 4592 and 4597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4592 and 4597, than apply into the LCM equation.

GCF(4592,4597) = 1
LCM(4592,4597) = ( 4592 × 4597) / 1
LCM(4592,4597) = 21109424 / 1
LCM(4592,4597) = 21109424

Properties of LCM 4592 and 4597

(i) The LCM of 4597 and 4592 is associative

LCM of 4592 and 4597 = LCM of 4597 and 4592

Related Least Common Multiples of 4592

Related Least Common Multiples of 4597

Frequently Asked Questions on LCM of 4592 and 4597

1. What is the LCM of 4592 and 4597?

Answer: LCM of 4592 and 4597 is 21109424.

2. What are the Factors of 4592?

Answer: Factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592. There are 20 integers that are factors of 4592. The greatest factor of 4592 is 4592.

3. What are the Factors of 4597?

Answer: Factors of 4597 are 1, 4597. There are 2 integers that are factors of 4597. The greatest factor of 4597 is 4597.

4. How to Find the LCM of 4592 and 4597?

Answer:

Least Common Multiple of 4592 and 4597 = 21109424

Step 1: Find the prime factorization of 4592

4592 = 2 x 2 x 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 4597

4597 = 4597

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

LCM = 21109424 = 2 x 2 x 2 x 2 x 7 x 41 x 4597

Step 4: Therefore, the least common multiple of 4592 and 4597 is 21109424.