Least Common Multiple of 3302 and 3303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3302 and 3303 the smallest integer that is 10906506 that is divisible by both numbers.

Least Common Multiple (LCM) of 3302 and 3303 is 10906506.

LCM(3302,3303) = 10906506

LCM of 3302 and 3303

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

LCM of:
and

Least Common Multiple of 3302 and 3303

LCM of 3302 and 3303 is 10906506

Least common multiple can be found by multiplying the highest exponent prime factors of 3302 and 3303. First we will calculate the prime factors of 3302 and 3303.

Prime Factorization of 3302


2 3302
13 1651
127 127
1

Prime factors of 3302 are 2, 13,127. Prime factorization of 3302 in exponential form is:

3302 = 21×131×1271

Prime Factorization of 3303


3 3303
3 1101
367 367
1

Prime factors of 3303 are 3,367. Prime factorization of 3303 in exponential form is:

3303 = 32×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 3302 and 3303.

LCM(3302,3303) = 21×32×131×1271×3671
LCM(3302,3303) = 10906506

Factors of 3302

List of positive integer factors of 3302 that divides 3302 without a remainder.

1, 2, 13, 26, 127, 254, 1651, 3302

Factors of 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1, 3, 9, 367, 1101, 3303

Least Common Multiple of 3302 and 3303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3302 and 3303, than apply into the LCM equation.

GCF(3302,3303) = 1
LCM(3302,3303) = ( 3302 × 3303) / 1
LCM(3302,3303) = 10906506 / 1
LCM(3302,3303) = 10906506

Properties of LCM 3302 and 3303

(i) The LCM of 3303 and 3302 is associative

LCM of 3302 and 3303 = LCM of 3303 and 3302

Related Least Common Multiples of 3302

Related Least Common Multiples of 3303

Frequently Asked Questions on LCM of 3302 and 3303

1. What is the LCM of 3302 and 3303?

Answer: LCM of 3302 and 3303 is 10906506.

2. What are the Factors of 3302?

Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.

3. What are the Factors of 3303?

Answer: Factors of 3303 are 1, 3, 9, 367, 1101, 3303. There are 6 integers that are factors of 3303. The greatest factor of 3303 is 3303.

4. How to Find the LCM of 3302 and 3303?

Answer:

Least Common Multiple of 3302 and 3303 = 10906506

Step 1: Find the prime factorization of 3302

3302 = 2 x 13 x 127

Step 2: Find the prime factorization of 3303

3303 = 3 x 3 x 367

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

LCM = 10906506 = 2 x 3 x 3 x 13 x 127 x 367

Step 4: Therefore, the least common multiple of 3302 and 3303 is 10906506.