Least Common Multiple of 4330 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 4330 and 4332 the smallest integer that is 9378780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4330 and 4332 is 9378780.

LCM(4330,4332) = 9378780

LCM of 4330 and 4332

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

LCM of:
and

Least Common Multiple of 4330 and 4332

LCM of 4330 and 4332 is 9378780

Least common multiple can be found by multiplying the highest exponent prime factors of 4330 and 4332. First we will calculate the prime factors of 4330 and 4332.

Prime Factorization of 4330


2 4330
5 2165
433 433
1

Prime factors of 4330 are 2, 5,433. Prime factorization of 4330 in exponential form is:

4330 = 21×51×4331

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 4330 and 4332.

LCM(4330,4332) = 22×31×51×192×4331
LCM(4330,4332) = 9378780

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1, 2, 5, 10, 433, 866, 2165, 4330

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 4330 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 4330 and 4332, than apply into the LCM equation.

GCF(4330,4332) = 2
LCM(4330,4332) = ( 4330 × 4332) / 2
LCM(4330,4332) = 18757560 / 2
LCM(4330,4332) = 9378780

Properties of LCM 4330 and 4332

(i) The LCM of 4332 and 4330 is associative

LCM of 4330 and 4332 = LCM of 4332 and 4330

Related Least Common Multiples of 4330

Related Least Common Multiples of 4332

Frequently Asked Questions on LCM of 4330 and 4332

1. What is the LCM of 4330 and 4332?

Answer: LCM of 4330 and 4332 is 9378780.

2. What are the Factors of 4330?

Answer: Factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330. There are 8 integers that are factors of 4330. The greatest factor of 4330 is 4330.

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 4330 and 4332?

Answer:

Least Common Multiple of 4330 and 4332 = 9378780

Step 1: Find the prime factorization of 4330

4330 = 2 x 5 x 433

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 = 9378780 = 2 x 2 x 3 x 5 x 19 x 19 x 433

Step 4: Therefore, the least common multiple of 4330 and 4332 is 9378780.