Least Common Multiple of 332 and 337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 332 and 337 the smallest integer that is 111884 that is divisible by both numbers.

Least Common Multiple (LCM) of 332 and 337 is 111884.

LCM(332,337) = 111884

LCM of 332 and 337

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

LCM of:
and

Least Common Multiple of 332 and 337

LCM of 332 and 337 is 111884

Least common multiple can be found by multiplying the highest exponent prime factors of 332 and 337. First we will calculate the prime factors of 332 and 337.

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

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 332 and 337.

LCM(332,337) = 22×831×3371
LCM(332,337) = 111884

Factors of 332

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

1, 2, 4, 83, 166, 332

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1, 337

Least Common Multiple of 332 and 337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 332 and 337, than apply into the LCM equation.

GCF(332,337) = 1
LCM(332,337) = ( 332 × 337) / 1
LCM(332,337) = 111884 / 1
LCM(332,337) = 111884

Properties of LCM 332 and 337

(i) The LCM of 337 and 332 is associative

LCM of 332 and 337 = LCM of 337 and 332

Related Least Common Multiples of 332

Related Least Common Multiples of 337

Frequently Asked Questions on LCM of 332 and 337

1. What is the LCM of 332 and 337?

Answer: LCM of 332 and 337 is 111884.

2. 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.

3. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

4. How to Find the LCM of 332 and 337?

Answer:

Least Common Multiple of 332 and 337 = 111884

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 337

337 = 337

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

LCM = 111884 = 2 x 2 x 83 x 337

Step 4: Therefore, the least common multiple of 332 and 337 is 111884.