Least Common Multiple of 4339 and 4344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4339 and 4344 the smallest integer that is 18848616 that is divisible by both numbers.

Least Common Multiple (LCM) of 4339 and 4344 is 18848616.

LCM(4339,4344) = 18848616

LCM of 4339 and 4344

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

LCM of:
and

Least Common Multiple of 4339 and 4344

LCM of 4339 and 4344 is 18848616

Least common multiple can be found by multiplying the highest exponent prime factors of 4339 and 4344. First we will calculate the prime factors of 4339 and 4344.

Prime Factorization of 4339


4339 4339
1

Prime factors of 4339 are 4339. Prime factorization of 4339 in exponential form is:

4339 = 43391

Prime Factorization of 4344


2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 4344 are 2, 3,181. Prime factorization of 4344 in exponential form is:

4344 = 23×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4339 and 4344.

LCM(4339,4344) = 23×31×1811×43391
LCM(4339,4344) = 18848616

Factors of 4339

List of positive integer factors of 4339 that divides 4339 without a remainder.

1, 4339

Factors of 4344

List of positive integer factors of 4344 that divides 4344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344

Least Common Multiple of 4339 and 4344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4339 and 4344, than apply into the LCM equation.

GCF(4339,4344) = 1
LCM(4339,4344) = ( 4339 × 4344) / 1
LCM(4339,4344) = 18848616 / 1
LCM(4339,4344) = 18848616

Properties of LCM 4339 and 4344

(i) The LCM of 4344 and 4339 is associative

LCM of 4339 and 4344 = LCM of 4344 and 4339

Related Least Common Multiples of 4339

Related Least Common Multiples of 4344

Frequently Asked Questions on LCM of 4339 and 4344

1. What is the LCM of 4339 and 4344?

Answer: LCM of 4339 and 4344 is 18848616.

2. What are the Factors of 4339?

Answer: Factors of 4339 are 1, 4339. There are 2 integers that are factors of 4339. The greatest factor of 4339 is 4339.

3. What are the Factors of 4344?

Answer: Factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344. There are 16 integers that are factors of 4344. The greatest factor of 4344 is 4344.

4. How to Find the LCM of 4339 and 4344?

Answer:

Least Common Multiple of 4339 and 4344 = 18848616

Step 1: Find the prime factorization of 4339

4339 = 4339

Step 2: Find the prime factorization of 4344

4344 = 2 x 2 x 2 x 3 x 181

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

LCM = 18848616 = 2 x 2 x 2 x 3 x 181 x 4339

Step 4: Therefore, the least common multiple of 4339 and 4344 is 18848616.