Least Common Multiple of 4303 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 4303 and 4308 the smallest integer that is 18537324 that is divisible by both numbers.

Least Common Multiple (LCM) of 4303 and 4308 is 18537324.

LCM(4303,4308) = 18537324

LCM of 4303 and 4308

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

LCM of:
and

Least Common Multiple of 4303 and 4308

LCM of 4303 and 4308 is 18537324

Least common multiple can be found by multiplying the highest exponent prime factors of 4303 and 4308. First we will calculate the prime factors of 4303 and 4308.

Prime Factorization of 4303


13 4303
331 331
1

Prime factors of 4303 are 13,331. Prime factorization of 4303 in exponential form is:

4303 = 131×3311

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 4303 and 4308.

LCM(4303,4308) = 22×31×131×3311×3591
LCM(4303,4308) = 18537324

Factors of 4303

List of positive integer factors of 4303 that divides 4303 without a remainder.

1, 13, 331, 4303

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 4303 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 4303 and 4308, than apply into the LCM equation.

GCF(4303,4308) = 1
LCM(4303,4308) = ( 4303 × 4308) / 1
LCM(4303,4308) = 18537324 / 1
LCM(4303,4308) = 18537324

Properties of LCM 4303 and 4308

(i) The LCM of 4308 and 4303 is associative

LCM of 4303 and 4308 = LCM of 4308 and 4303

Related Least Common Multiples of 4303

Related Least Common Multiples of 4308

Frequently Asked Questions on LCM of 4303 and 4308

1. What is the LCM of 4303 and 4308?

Answer: LCM of 4303 and 4308 is 18537324.

2. What are the Factors of 4303?

Answer: Factors of 4303 are 1, 13, 331, 4303. There are 4 integers that are factors of 4303. The greatest factor of 4303 is 4303.

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 4303 and 4308?

Answer:

Least Common Multiple of 4303 and 4308 = 18537324

Step 1: Find the prime factorization of 4303

4303 = 13 x 331

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 = 18537324 = 2 x 2 x 3 x 13 x 331 x 359

Step 4: Therefore, the least common multiple of 4303 and 4308 is 18537324.