Least Common Multiple of 4304 and 4308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4304 and 4308 the smallest integer that is 4635408 that is divisible by both numbers.

Least Common Multiple (LCM) of 4304 and 4308 is 4635408.

LCM(4304,4308) = 4635408

LCM of 4304 and 4308

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

LCM of:
and

Least Common Multiple of 4304 and 4308

LCM of 4304 and 4308 is 4635408

Least common multiple can be found by multiplying the highest exponent prime factors of 4304 and 4308. First we will calculate the prime factors of 4304 and 4308.

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

Prime Factorization of 4308


2 4308
2 2154
3 1077
359 359
1

Prime factors of 4308 are 2, 3,359. Prime factorization of 4308 in exponential form is:

4308 = 22×31×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 4304 and 4308.

LCM(4304,4308) = 24×31×2691×3591
LCM(4304,4308) = 4635408

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

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308

Least Common Multiple of 4304 and 4308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4304 and 4308, than apply into the LCM equation.

GCF(4304,4308) = 4
LCM(4304,4308) = ( 4304 × 4308) / 4
LCM(4304,4308) = 18541632 / 4
LCM(4304,4308) = 4635408

Properties of LCM 4304 and 4308

(i) The LCM of 4308 and 4304 is associative

LCM of 4304 and 4308 = LCM of 4308 and 4304

Related Least Common Multiples of 4304

Related Least Common Multiples of 4308

Frequently Asked Questions on LCM of 4304 and 4308

1. What is the LCM of 4304 and 4308?

Answer: LCM of 4304 and 4308 is 4635408.

2. 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.

3. What are the Factors of 4308?

Answer: Factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308. There are 12 integers that are factors of 4308. The greatest factor of 4308 is 4308.

4. How to Find the LCM of 4304 and 4308?

Answer:

Least Common Multiple of 4304 and 4308 = 4635408

Step 1: Find the prime factorization of 4304

4304 = 2 x 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 4308

4308 = 2 x 2 x 3 x 359

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

LCM = 4635408 = 2 x 2 x 2 x 2 x 3 x 269 x 359

Step 4: Therefore, the least common multiple of 4304 and 4308 is 4635408.