Least Common Multiple of 4328 and 4335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4328 and 4335 the smallest integer that is 18761880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4328 and 4335 is 18761880.

LCM(4328,4335) = 18761880

LCM of 4328 and 4335

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

LCM of:
and

Least Common Multiple of 4328 and 4335

LCM of 4328 and 4335 is 18761880

Least common multiple can be found by multiplying the highest exponent prime factors of 4328 and 4335. First we will calculate the prime factors of 4328 and 4335.

Prime Factorization of 4328


2 4328
2 2164
2 1082
541 541
1

Prime factors of 4328 are 2,541. Prime factorization of 4328 in exponential form is:

4328 = 23×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4335.

LCM(4328,4335) = 23×31×51×172×5411
LCM(4328,4335) = 18761880

Factors of 4328

List of positive integer factors of 4328 that divides 4328 without a remainder.

1, 2, 4, 8, 541, 1082, 2164, 4328

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

Least Common Multiple of 4328 and 4335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4328 and 4335, than apply into the LCM equation.

GCF(4328,4335) = 1
LCM(4328,4335) = ( 4328 × 4335) / 1
LCM(4328,4335) = 18761880 / 1
LCM(4328,4335) = 18761880

Properties of LCM 4328 and 4335

(i) The LCM of 4335 and 4328 is associative

LCM of 4328 and 4335 = LCM of 4335 and 4328

Related Least Common Multiples of 4328

Related Least Common Multiples of 4335

Frequently Asked Questions on LCM of 4328 and 4335

1. What is the LCM of 4328 and 4335?

Answer: LCM of 4328 and 4335 is 18761880.

2. What are the Factors of 4328?

Answer: Factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328. There are 8 integers that are factors of 4328. The greatest factor of 4328 is 4328.

3. 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.

4. How to Find the LCM of 4328 and 4335?

Answer:

Least Common Multiple of 4328 and 4335 = 18761880

Step 1: Find the prime factorization of 4328

4328 = 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

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

LCM = 18761880 = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 541

Step 4: Therefore, the least common multiple of 4328 and 4335 is 18761880.