Least Common Multiple of 4348 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 4348 and 4349 the smallest integer that is 18909452 that is divisible by both numbers.

Least Common Multiple (LCM) of 4348 and 4349 is 18909452.

LCM(4348,4349) = 18909452

LCM of 4348 and 4349

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

LCM of:
and

Least Common Multiple of 4348 and 4349

LCM of 4348 and 4349 is 18909452

Least common multiple can be found by multiplying the highest exponent prime factors of 4348 and 4349. First we will calculate the prime factors of 4348 and 4349.

Prime Factorization of 4348


2 4348
2 2174
1087 1087
1

Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:

4348 = 22×10871

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 4348 and 4349.

LCM(4348,4349) = 22×10871×43491
LCM(4348,4349) = 18909452

Factors of 4348

List of positive integer factors of 4348 that divides 4348 without a remainder.

1, 2, 4, 1087, 2174, 4348

Factors of 4349

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

1, 4349

Least Common Multiple of 4348 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 4348 and 4349, than apply into the LCM equation.

GCF(4348,4349) = 1
LCM(4348,4349) = ( 4348 × 4349) / 1
LCM(4348,4349) = 18909452 / 1
LCM(4348,4349) = 18909452

Properties of LCM 4348 and 4349

(i) The LCM of 4349 and 4348 is associative

LCM of 4348 and 4349 = LCM of 4349 and 4348

Related Least Common Multiples of 4348

Related Least Common Multiples of 4349

Frequently Asked Questions on LCM of 4348 and 4349

1. What is the LCM of 4348 and 4349?

Answer: LCM of 4348 and 4349 is 18909452.

2. What are the Factors of 4348?

Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.

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 4348 and 4349?

Answer:

Least Common Multiple of 4348 and 4349 = 18909452

Step 1: Find the prime factorization of 4348

4348 = 2 x 2 x 1087

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 = 18909452 = 2 x 2 x 1087 x 4349

Step 4: Therefore, the least common multiple of 4348 and 4349 is 18909452.