Least Common Multiple of 326 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 326 and 332 the smallest integer that is 54116 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 332 is 54116.

LCM(326,332) = 54116

LCM of 326 and 332

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

LCM of:
and

Least Common Multiple of 326 and 332

LCM of 326 and 332 is 54116

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 332. First we will calculate the prime factors of 326 and 332.

Prime Factorization of 326


2 326
163 163
1

Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:

326 = 21×1631

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 326 and 332.

LCM(326,332) = 22×831×1631
LCM(326,332) = 54116

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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 326 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 326 and 332, than apply into the LCM equation.

GCF(326,332) = 2
LCM(326,332) = ( 326 × 332) / 2
LCM(326,332) = 108232 / 2
LCM(326,332) = 54116

Properties of LCM 326 and 332

(i) The LCM of 332 and 326 is associative

LCM of 326 and 332 = LCM of 332 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 326 and 332

1. What is the LCM of 326 and 332?

Answer: LCM of 326 and 332 is 54116.

2. What are the Factors of 326?

Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.

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 326 and 332?

Answer:

Least Common Multiple of 326 and 332 = 54116

Step 1: Find the prime factorization of 326

326 = 2 x 163

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 = 54116 = 2 x 2 x 83 x 163

Step 4: Therefore, the least common multiple of 326 and 332 is 54116.