Least Common Multiple of 4328 and 4332

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 4332 the smallest integer that is 4687224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4328 and 4332 is 4687224.

LCM(4328,4332) = 4687224

LCM of 4328 and 4332

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

LCM of:
and

Least Common Multiple of 4328 and 4332

LCM of 4328 and 4332 is 4687224

Least common multiple can be found by multiplying the highest exponent prime factors of 4328 and 4332. First we will calculate the prime factors of 4328 and 4332.

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 4332


2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 4332 are 2, 3,19. Prime factorization of 4332 in exponential form is:

4332 = 22×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4332.

LCM(4328,4332) = 23×31×192×5411
LCM(4328,4332) = 4687224

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 4332

List of positive integer factors of 4332 that divides 4332 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332

Least Common Multiple of 4328 and 4332 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 4332, than apply into the LCM equation.

GCF(4328,4332) = 4
LCM(4328,4332) = ( 4328 × 4332) / 4
LCM(4328,4332) = 18748896 / 4
LCM(4328,4332) = 4687224

Properties of LCM 4328 and 4332

(i) The LCM of 4332 and 4328 is associative

LCM of 4328 and 4332 = LCM of 4332 and 4328

Related Least Common Multiples of 4328

Related Least Common Multiples of 4332

Frequently Asked Questions on LCM of 4328 and 4332

1. What is the LCM of 4328 and 4332?

Answer: LCM of 4328 and 4332 is 4687224.

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 4332?

Answer: Factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332. There are 18 integers that are factors of 4332. The greatest factor of 4332 is 4332.

4. How to Find the LCM of 4328 and 4332?

Answer:

Least Common Multiple of 4328 and 4332 = 4687224

Step 1: Find the prime factorization of 4328

4328 = 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 4332

4332 = 2 x 2 x 3 x 19 x 19

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

LCM = 4687224 = 2 x 2 x 2 x 3 x 19 x 19 x 541

Step 4: Therefore, the least common multiple of 4328 and 4332 is 4687224.