Least Common Multiple of 324 and 332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 324 and 332 the smallest integer that is 26892 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 332 is 26892.

LCM(324,332) = 26892

LCM of 324 and 332

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

LCM of:
and

Least Common Multiple of 324 and 332

LCM of 324 and 332 is 26892

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 332. First we will calculate the prime factors of 324 and 332.

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

Prime Factorization of 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

Now multiplying the highest exponent prime factors to calculate the LCM of 324 and 332.

LCM(324,332) = 22×34×831
LCM(324,332) = 26892

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Least Common Multiple of 324 and 332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 324 and 332, than apply into the LCM equation.

GCF(324,332) = 4
LCM(324,332) = ( 324 × 332) / 4
LCM(324,332) = 107568 / 4
LCM(324,332) = 26892

Properties of LCM 324 and 332

(i) The LCM of 332 and 324 is associative

LCM of 324 and 332 = LCM of 332 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 324 and 332

1. What is the LCM of 324 and 332?

Answer: LCM of 324 and 332 is 26892.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

3. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the LCM of 324 and 332?

Answer:

Least Common Multiple of 324 and 332 = 26892

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 26892 = 2 x 2 x 3 x 3 x 3 x 3 x 83

Step 4: Therefore, the least common multiple of 324 and 332 is 26892.