Least Common Multiple of 4341 and 4347

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 4347 the smallest integer that is 6290109 that is divisible by both numbers.

Least Common Multiple (LCM) of 4341 and 4347 is 6290109.

LCM(4341,4347) = 6290109

LCM of 4341 and 4347

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

LCM of:
and

Least Common Multiple of 4341 and 4347

LCM of 4341 and 4347 is 6290109

Least common multiple can be found by multiplying the highest exponent prime factors of 4341 and 4347. First we will calculate the prime factors of 4341 and 4347.

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 4347


3 4347
3 1449
3 483
7 161
23 23
1

Prime factors of 4347 are 3, 7,23. Prime factorization of 4347 in exponential form is:

4347 = 33×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4341 and 4347.

LCM(4341,4347) = 33×71×231×14471
LCM(4341,4347) = 6290109

Factors of 4341

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

1, 3, 1447, 4341

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347

Least Common Multiple of 4341 and 4347 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 4347, than apply into the LCM equation.

GCF(4341,4347) = 3
LCM(4341,4347) = ( 4341 × 4347) / 3
LCM(4341,4347) = 18870327 / 3
LCM(4341,4347) = 6290109

Properties of LCM 4341 and 4347

(i) The LCM of 4347 and 4341 is associative

LCM of 4341 and 4347 = LCM of 4347 and 4341

Related Least Common Multiples of 4341

Related Least Common Multiples of 4347

Frequently Asked Questions on LCM of 4341 and 4347

1. What is the LCM of 4341 and 4347?

Answer: LCM of 4341 and 4347 is 6290109.

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 4347?

Answer: Factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347. There are 16 integers that are factors of 4347. The greatest factor of 4347 is 4347.

4. How to Find the LCM of 4341 and 4347?

Answer:

Least Common Multiple of 4341 and 4347 = 6290109

Step 1: Find the prime factorization of 4341

4341 = 3 x 1447

Step 2: Find the prime factorization of 4347

4347 = 3 x 3 x 3 x 7 x 23

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

LCM = 6290109 = 3 x 3 x 3 x 7 x 23 x 1447

Step 4: Therefore, the least common multiple of 4341 and 4347 is 6290109.