Least Common Multiple of 4339 and 4343

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 4343 the smallest integer that is 18844277 that is divisible by both numbers.

Least Common Multiple (LCM) of 4339 and 4343 is 18844277.

LCM(4339,4343) = 18844277

LCM of 4339 and 4343

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

LCM of:
and

Least Common Multiple of 4339 and 4343

LCM of 4339 and 4343 is 18844277

Least common multiple can be found by multiplying the highest exponent prime factors of 4339 and 4343. First we will calculate the prime factors of 4339 and 4343.

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 4343


43 4343
101 101
1

Prime factors of 4343 are 43,101. Prime factorization of 4343 in exponential form is:

4343 = 431×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4339 and 4343.

LCM(4339,4343) = 431×1011×43391
LCM(4339,4343) = 18844277

Factors of 4339

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

1, 4339

Factors of 4343

List of positive integer factors of 4343 that divides 4343 without a remainder.

1, 43, 101, 4343

Least Common Multiple of 4339 and 4343 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 4343, than apply into the LCM equation.

GCF(4339,4343) = 1
LCM(4339,4343) = ( 4339 × 4343) / 1
LCM(4339,4343) = 18844277 / 1
LCM(4339,4343) = 18844277

Properties of LCM 4339 and 4343

(i) The LCM of 4343 and 4339 is associative

LCM of 4339 and 4343 = LCM of 4343 and 4339

Related Least Common Multiples of 4339

Related Least Common Multiples of 4343

Frequently Asked Questions on LCM of 4339 and 4343

1. What is the LCM of 4339 and 4343?

Answer: LCM of 4339 and 4343 is 18844277.

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 4343?

Answer: Factors of 4343 are 1, 43, 101, 4343. There are 4 integers that are factors of 4343. The greatest factor of 4343 is 4343.

4. How to Find the LCM of 4339 and 4343?

Answer:

Least Common Multiple of 4339 and 4343 = 18844277

Step 1: Find the prime factorization of 4339

4339 = 4339

Step 2: Find the prime factorization of 4343

4343 = 43 x 101

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

LCM = 18844277 = 43 x 101 x 4339

Step 4: Therefore, the least common multiple of 4339 and 4343 is 18844277.