Least Common Multiple of 4300 and 4304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4300 and 4304 the smallest integer that is 4626800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4300 and 4304 is 4626800.

LCM(4300,4304) = 4626800

LCM of 4300 and 4304

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

LCM of:
and

Least Common Multiple of 4300 and 4304

LCM of 4300 and 4304 is 4626800

Least common multiple can be found by multiplying the highest exponent prime factors of 4300 and 4304. First we will calculate the prime factors of 4300 and 4304.

Prime Factorization of 4300


2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 4300 are 2, 5,43. Prime factorization of 4300 in exponential form is:

4300 = 22×52×431

Prime Factorization of 4304


2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 4304 are 2,269. Prime factorization of 4304 in exponential form is:

4304 = 24×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 4300 and 4304.

LCM(4300,4304) = 24×52×431×2691
LCM(4300,4304) = 4626800

Factors of 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304

Least Common Multiple of 4300 and 4304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4300 and 4304, than apply into the LCM equation.

GCF(4300,4304) = 4
LCM(4300,4304) = ( 4300 × 4304) / 4
LCM(4300,4304) = 18507200 / 4
LCM(4300,4304) = 4626800

Properties of LCM 4300 and 4304

(i) The LCM of 4304 and 4300 is associative

LCM of 4300 and 4304 = LCM of 4304 and 4300

Related Least Common Multiples of 4300

Related Least Common Multiples of 4304

Frequently Asked Questions on LCM of 4300 and 4304

1. What is the LCM of 4300 and 4304?

Answer: LCM of 4300 and 4304 is 4626800.

2. What are the Factors of 4300?

Answer: Factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300. There are 18 integers that are factors of 4300. The greatest factor of 4300 is 4300.

3. What are the Factors of 4304?

Answer: Factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304. There are 10 integers that are factors of 4304. The greatest factor of 4304 is 4304.

4. How to Find the LCM of 4300 and 4304?

Answer:

Least Common Multiple of 4300 and 4304 = 4626800

Step 1: Find the prime factorization of 4300

4300 = 2 x 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 4304

4304 = 2 x 2 x 2 x 2 x 269

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

LCM = 4626800 = 2 x 2 x 2 x 2 x 5 x 5 x 43 x 269

Step 4: Therefore, the least common multiple of 4300 and 4304 is 4626800.