Least Common Multiple of 4336 and 4341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4336 and 4341 the smallest integer that is 18822576 that is divisible by both numbers.

Least Common Multiple (LCM) of 4336 and 4341 is 18822576.

LCM(4336,4341) = 18822576

LCM of 4336 and 4341

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

LCM of:
and

Least Common Multiple of 4336 and 4341

LCM of 4336 and 4341 is 18822576

Least common multiple can be found by multiplying the highest exponent prime factors of 4336 and 4341. First we will calculate the prime factors of 4336 and 4341.

Prime Factorization of 4336


2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 4336 are 2,271. Prime factorization of 4336 in exponential form is:

4336 = 24×2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4336 and 4341.

LCM(4336,4341) = 24×31×2711×14471
LCM(4336,4341) = 18822576

Factors of 4336

List of positive integer factors of 4336 that divides 4336 without a remainder.

1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336

Factors of 4341

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

1, 3, 1447, 4341

Least Common Multiple of 4336 and 4341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4336 and 4341, than apply into the LCM equation.

GCF(4336,4341) = 1
LCM(4336,4341) = ( 4336 × 4341) / 1
LCM(4336,4341) = 18822576 / 1
LCM(4336,4341) = 18822576

Properties of LCM 4336 and 4341

(i) The LCM of 4341 and 4336 is associative

LCM of 4336 and 4341 = LCM of 4341 and 4336

Related Least Common Multiples of 4336

Related Least Common Multiples of 4341

Frequently Asked Questions on LCM of 4336 and 4341

1. What is the LCM of 4336 and 4341?

Answer: LCM of 4336 and 4341 is 18822576.

2. What are the Factors of 4336?

Answer: Factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336. There are 10 integers that are factors of 4336. The greatest factor of 4336 is 4336.

3. 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.

4. How to Find the LCM of 4336 and 4341?

Answer:

Least Common Multiple of 4336 and 4341 = 18822576

Step 1: Find the prime factorization of 4336

4336 = 2 x 2 x 2 x 2 x 271

Step 2: Find the prime factorization of 4341

4341 = 3 x 1447

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

LCM = 18822576 = 2 x 2 x 2 x 2 x 3 x 271 x 1447

Step 4: Therefore, the least common multiple of 4336 and 4341 is 18822576.