Least Common Multiple of 4590 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 4590 and 4597 the smallest integer that is 21100230 that is divisible by both numbers.

Least Common Multiple (LCM) of 4590 and 4597 is 21100230.

LCM(4590,4597) = 21100230

LCM of 4590 and 4597

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

LCM of:
and

Least Common Multiple of 4590 and 4597

LCM of 4590 and 4597 is 21100230

Least common multiple can be found by multiplying the highest exponent prime factors of 4590 and 4597. First we will calculate the prime factors of 4590 and 4597.

Prime Factorization of 4590


2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 4590 are 2, 3, 5,17. Prime factorization of 4590 in exponential form is:

4590 = 21×33×51×171

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 4590 and 4597.

LCM(4590,4597) = 21×33×51×171×45971
LCM(4590,4597) = 21100230

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590

Factors of 4597

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

1, 4597

Least Common Multiple of 4590 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 4590 and 4597, than apply into the LCM equation.

GCF(4590,4597) = 1
LCM(4590,4597) = ( 4590 × 4597) / 1
LCM(4590,4597) = 21100230 / 1
LCM(4590,4597) = 21100230

Properties of LCM 4590 and 4597

(i) The LCM of 4597 and 4590 is associative

LCM of 4590 and 4597 = LCM of 4597 and 4590

Related Least Common Multiples of 4590

Related Least Common Multiples of 4597

Frequently Asked Questions on LCM of 4590 and 4597

1. What is the LCM of 4590 and 4597?

Answer: LCM of 4590 and 4597 is 21100230.

2. What are the Factors of 4590?

Answer: Factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590. There are 32 integers that are factors of 4590. The greatest factor of 4590 is 4590.

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 4590 and 4597?

Answer:

Least Common Multiple of 4590 and 4597 = 21100230

Step 1: Find the prime factorization of 4590

4590 = 2 x 3 x 3 x 3 x 5 x 17

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 = 21100230 = 2 x 3 x 3 x 3 x 5 x 17 x 4597

Step 4: Therefore, the least common multiple of 4590 and 4597 is 21100230.