Least Common Multiple of 4326 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 4326 and 4332 the smallest integer that is 3123372 that is divisible by both numbers.

Least Common Multiple (LCM) of 4326 and 4332 is 3123372.

LCM(4326,4332) = 3123372

LCM of 4326 and 4332

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

LCM of:
and

Least Common Multiple of 4326 and 4332

LCM of 4326 and 4332 is 3123372

Least common multiple can be found by multiplying the highest exponent prime factors of 4326 and 4332. First we will calculate the prime factors of 4326 and 4332.

Prime Factorization of 4326


2 4326
3 2163
7 721
103 103
1

Prime factors of 4326 are 2, 3, 7,103. Prime factorization of 4326 in exponential form is:

4326 = 21×31×71×1031

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 4326 and 4332.

LCM(4326,4332) = 22×31×71×192×1031
LCM(4326,4332) = 3123372

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326

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 4326 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 4326 and 4332, than apply into the LCM equation.

GCF(4326,4332) = 6
LCM(4326,4332) = ( 4326 × 4332) / 6
LCM(4326,4332) = 18740232 / 6
LCM(4326,4332) = 3123372

Properties of LCM 4326 and 4332

(i) The LCM of 4332 and 4326 is associative

LCM of 4326 and 4332 = LCM of 4332 and 4326

Related Least Common Multiples of 4326

Related Least Common Multiples of 4332

Frequently Asked Questions on LCM of 4326 and 4332

1. What is the LCM of 4326 and 4332?

Answer: LCM of 4326 and 4332 is 3123372.

2. What are the Factors of 4326?

Answer: Factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326. There are 16 integers that are factors of 4326. The greatest factor of 4326 is 4326.

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 4326 and 4332?

Answer:

Least Common Multiple of 4326 and 4332 = 3123372

Step 1: Find the prime factorization of 4326

4326 = 2 x 3 x 7 x 103

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 = 3123372 = 2 x 2 x 3 x 7 x 19 x 19 x 103

Step 4: Therefore, the least common multiple of 4326 and 4332 is 3123372.