Least Common Multiple of 4605 and 4613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4605 and 4613 the smallest integer that is 21242865 that is divisible by both numbers.

Least Common Multiple (LCM) of 4605 and 4613 is 21242865.

LCM(4605,4613) = 21242865

LCM of 4605 and 4613

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

LCM of:
and

Least Common Multiple of 4605 and 4613

LCM of 4605 and 4613 is 21242865

Least common multiple can be found by multiplying the highest exponent prime factors of 4605 and 4613. First we will calculate the prime factors of 4605 and 4613.

Prime Factorization of 4605


3 4605
5 1535
307 307
1

Prime factors of 4605 are 3, 5,307. Prime factorization of 4605 in exponential form is:

4605 = 31×51×3071

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 4605 and 4613.

LCM(4605,4613) = 31×51×71×3071×6591
LCM(4605,4613) = 21242865

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1, 3, 5, 15, 307, 921, 1535, 4605

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1, 7, 659, 4613

Least Common Multiple of 4605 and 4613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4605 and 4613, than apply into the LCM equation.

GCF(4605,4613) = 1
LCM(4605,4613) = ( 4605 × 4613) / 1
LCM(4605,4613) = 21242865 / 1
LCM(4605,4613) = 21242865

Properties of LCM 4605 and 4613

(i) The LCM of 4613 and 4605 is associative

LCM of 4605 and 4613 = LCM of 4613 and 4605

Related Least Common Multiples of 4605

Related Least Common Multiples of 4613

Frequently Asked Questions on LCM of 4605 and 4613

1. What is the LCM of 4605 and 4613?

Answer: LCM of 4605 and 4613 is 21242865.

2. What are the Factors of 4605?

Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.

3. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

4. How to Find the LCM of 4605 and 4613?

Answer:

Least Common Multiple of 4605 and 4613 = 21242865

Step 1: Find the prime factorization of 4605

4605 = 3 x 5 x 307

Step 2: Find the prime factorization of 4613

4613 = 7 x 659

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

LCM = 21242865 = 3 x 5 x 7 x 307 x 659

Step 4: Therefore, the least common multiple of 4605 and 4613 is 21242865.