Least Common Multiple of 331 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 331 and 332 the smallest integer that is 109892 that is divisible by both numbers.

Least Common Multiple (LCM) of 331 and 332 is 109892.

LCM(331,332) = 109892

LCM of 331 and 332

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

LCM of:
and

Least Common Multiple of 331 and 332

LCM of 331 and 332 is 109892

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 332. First we will calculate the prime factors of 331 and 332.

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

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 331 and 332.

LCM(331,332) = 22×831×3311
LCM(331,332) = 109892

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

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 331 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 331 and 332, than apply into the LCM equation.

GCF(331,332) = 1
LCM(331,332) = ( 331 × 332) / 1
LCM(331,332) = 109892 / 1
LCM(331,332) = 109892

Properties of LCM 331 and 332

(i) The LCM of 332 and 331 is associative

LCM of 331 and 332 = LCM of 332 and 331

Related Least Common Multiples of 331

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 331 and 332

1. What is the LCM of 331 and 332?

Answer: LCM of 331 and 332 is 109892.

2. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

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 331 and 332?

Answer:

Least Common Multiple of 331 and 332 = 109892

Step 1: Find the prime factorization of 331

331 = 331

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 = 109892 = 2 x 2 x 83 x 331

Step 4: Therefore, the least common multiple of 331 and 332 is 109892.