Least Common Multiple of 4335 and 4339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4335 and 4339 the smallest integer that is 18809565 that is divisible by both numbers.

Least Common Multiple (LCM) of 4335 and 4339 is 18809565.

LCM(4335,4339) = 18809565

LCM of 4335 and 4339

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

LCM of:
and

Least Common Multiple of 4335 and 4339

LCM of 4335 and 4339 is 18809565

Least common multiple can be found by multiplying the highest exponent prime factors of 4335 and 4339. First we will calculate the prime factors of 4335 and 4339.

Prime Factorization of 4335


3 4335
5 1445
17 289
17 17
1

Prime factors of 4335 are 3, 5,17. Prime factorization of 4335 in exponential form is:

4335 = 31×51×172

Prime Factorization of 4339


4339 4339
1

Prime factors of 4339 are 4339. Prime factorization of 4339 in exponential form is:

4339 = 43391

Now multiplying the highest exponent prime factors to calculate the LCM of 4335 and 4339.

LCM(4335,4339) = 31×51×172×43391
LCM(4335,4339) = 18809565

Factors of 4335

List of positive integer factors of 4335 that divides 4335 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335

Factors of 4339

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

1, 4339

Least Common Multiple of 4335 and 4339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4335 and 4339, than apply into the LCM equation.

GCF(4335,4339) = 1
LCM(4335,4339) = ( 4335 × 4339) / 1
LCM(4335,4339) = 18809565 / 1
LCM(4335,4339) = 18809565

Properties of LCM 4335 and 4339

(i) The LCM of 4339 and 4335 is associative

LCM of 4335 and 4339 = LCM of 4339 and 4335

Related Least Common Multiples of 4335

Related Least Common Multiples of 4339

Frequently Asked Questions on LCM of 4335 and 4339

1. What is the LCM of 4335 and 4339?

Answer: LCM of 4335 and 4339 is 18809565.

2. What are the Factors of 4335?

Answer: Factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335. There are 12 integers that are factors of 4335. The greatest factor of 4335 is 4335.

3. 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.

4. How to Find the LCM of 4335 and 4339?

Answer:

Least Common Multiple of 4335 and 4339 = 18809565

Step 1: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 4339

4339 = 4339

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

LCM = 18809565 = 3 x 5 x 17 x 17 x 4339

Step 4: Therefore, the least common multiple of 4335 and 4339 is 18809565.