Least Common Multiple of 4328 and 4331

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 4331 the smallest integer that is 18744568 that is divisible by both numbers.

Least Common Multiple (LCM) of 4328 and 4331 is 18744568.

LCM(4328,4331) = 18744568

LCM of 4328 and 4331

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

LCM of:
and

Least Common Multiple of 4328 and 4331

LCM of 4328 and 4331 is 18744568

Least common multiple can be found by multiplying the highest exponent prime factors of 4328 and 4331. First we will calculate the prime factors of 4328 and 4331.

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 4331


61 4331
71 71
1

Prime factors of 4331 are 61,71. Prime factorization of 4331 in exponential form is:

4331 = 611×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4331.

LCM(4328,4331) = 23×611×711×5411
LCM(4328,4331) = 18744568

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 4331

List of positive integer factors of 4331 that divides 4331 without a remainder.

1, 61, 71, 4331

Least Common Multiple of 4328 and 4331 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 4331, than apply into the LCM equation.

GCF(4328,4331) = 1
LCM(4328,4331) = ( 4328 × 4331) / 1
LCM(4328,4331) = 18744568 / 1
LCM(4328,4331) = 18744568

Properties of LCM 4328 and 4331

(i) The LCM of 4331 and 4328 is associative

LCM of 4328 and 4331 = LCM of 4331 and 4328

Related Least Common Multiples of 4328

Related Least Common Multiples of 4331

Frequently Asked Questions on LCM of 4328 and 4331

1. What is the LCM of 4328 and 4331?

Answer: LCM of 4328 and 4331 is 18744568.

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 4331?

Answer: Factors of 4331 are 1, 61, 71, 4331. There are 4 integers that are factors of 4331. The greatest factor of 4331 is 4331.

4. How to Find the LCM of 4328 and 4331?

Answer:

Least Common Multiple of 4328 and 4331 = 18744568

Step 1: Find the prime factorization of 4328

4328 = 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 4331

4331 = 61 x 71

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

LCM = 18744568 = 2 x 2 x 2 x 61 x 71 x 541

Step 4: Therefore, the least common multiple of 4328 and 4331 is 18744568.