Least Common Multiple of 4341 and 4349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4341 and 4349 the smallest integer that is 18879009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4341 and 4349 is 18879009.

LCM(4341,4349) = 18879009

LCM of 4341 and 4349

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

LCM of:
and

Least Common Multiple of 4341 and 4349

LCM of 4341 and 4349 is 18879009

Least common multiple can be found by multiplying the highest exponent prime factors of 4341 and 4349. First we will calculate the prime factors of 4341 and 4349.

Prime Factorization of 4341


3 4341
1447 1447
1

Prime factors of 4341 are 3,1447. Prime factorization of 4341 in exponential form is:

4341 = 31×14471

Prime Factorization of 4349


4349 4349
1

Prime factors of 4349 are 4349. Prime factorization of 4349 in exponential form is:

4349 = 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 4341 and 4349.

LCM(4341,4349) = 31×14471×43491
LCM(4341,4349) = 18879009

Factors of 4341

List of positive integer factors of 4341 that divides 4341 without a remainder.

1, 3, 1447, 4341

Factors of 4349

List of positive integer factors of 4349 that divides 4349 without a remainder.

1, 4349

Least Common Multiple of 4341 and 4349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4341 and 4349, than apply into the LCM equation.

GCF(4341,4349) = 1
LCM(4341,4349) = ( 4341 × 4349) / 1
LCM(4341,4349) = 18879009 / 1
LCM(4341,4349) = 18879009

Properties of LCM 4341 and 4349

(i) The LCM of 4349 and 4341 is associative

LCM of 4341 and 4349 = LCM of 4349 and 4341

Related Least Common Multiples of 4341

Related Least Common Multiples of 4349

Frequently Asked Questions on LCM of 4341 and 4349

1. What is the LCM of 4341 and 4349?

Answer: LCM of 4341 and 4349 is 18879009.

2. What are the Factors of 4341?

Answer: Factors of 4341 are 1, 3, 1447, 4341. There are 4 integers that are factors of 4341. The greatest factor of 4341 is 4341.

3. What are the Factors of 4349?

Answer: Factors of 4349 are 1, 4349. There are 2 integers that are factors of 4349. The greatest factor of 4349 is 4349.

4. How to Find the LCM of 4341 and 4349?

Answer:

Least Common Multiple of 4341 and 4349 = 18879009

Step 1: Find the prime factorization of 4341

4341 = 3 x 1447

Step 2: Find the prime factorization of 4349

4349 = 4349

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

LCM = 18879009 = 3 x 1447 x 4349

Step 4: Therefore, the least common multiple of 4341 and 4349 is 18879009.