Least Common Multiple of 4604 and 4605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4604 and 4605 the smallest integer that is 21201420 that is divisible by both numbers.

Least Common Multiple (LCM) of 4604 and 4605 is 21201420.

LCM(4604,4605) = 21201420

LCM of 4604 and 4605

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

LCM of:
and

Least Common Multiple of 4604 and 4605

LCM of 4604 and 4605 is 21201420

Least common multiple can be found by multiplying the highest exponent prime factors of 4604 and 4605. First we will calculate the prime factors of 4604 and 4605.

Prime Factorization of 4604


2 4604
2 2302
1151 1151
1

Prime factors of 4604 are 2,1151. Prime factorization of 4604 in exponential form is:

4604 = 22×11511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4604 and 4605.

LCM(4604,4605) = 22×31×51×3071×11511
LCM(4604,4605) = 21201420

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1, 2, 4, 1151, 2302, 4604

Factors of 4605

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

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

Least Common Multiple of 4604 and 4605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4604 and 4605, than apply into the LCM equation.

GCF(4604,4605) = 1
LCM(4604,4605) = ( 4604 × 4605) / 1
LCM(4604,4605) = 21201420 / 1
LCM(4604,4605) = 21201420

Properties of LCM 4604 and 4605

(i) The LCM of 4605 and 4604 is associative

LCM of 4604 and 4605 = LCM of 4605 and 4604

Related Least Common Multiples of 4604

Related Least Common Multiples of 4605

Frequently Asked Questions on LCM of 4604 and 4605

1. What is the LCM of 4604 and 4605?

Answer: LCM of 4604 and 4605 is 21201420.

2. What are the Factors of 4604?

Answer: Factors of 4604 are 1, 2, 4, 1151, 2302, 4604. There are 6 integers that are factors of 4604. The greatest factor of 4604 is 4604.

3. 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.

4. How to Find the LCM of 4604 and 4605?

Answer:

Least Common Multiple of 4604 and 4605 = 21201420

Step 1: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

Step 2: Find the prime factorization of 4605

4605 = 3 x 5 x 307

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

LCM = 21201420 = 2 x 2 x 3 x 5 x 307 x 1151

Step 4: Therefore, the least common multiple of 4604 and 4605 is 21201420.