Least Common Multiple of 3300 and 3302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3300 and 3302 the smallest integer that is 5448300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3302 is 5448300.

LCM(3300,3302) = 5448300

LCM of 3300 and 3302

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

LCM of:
and

Least Common Multiple of 3300 and 3302

LCM of 3300 and 3302 is 5448300

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3302. First we will calculate the prime factors of 3300 and 3302.

Prime Factorization of 3300


2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 3300 are 2, 3, 5,11. Prime factorization of 3300 in exponential form is:

3300 = 22×31×52×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3302.

LCM(3300,3302) = 22×31×52×111×131×1271
LCM(3300,3302) = 5448300

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300

Factors of 3302

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

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

Least Common Multiple of 3300 and 3302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3300 and 3302, than apply into the LCM equation.

GCF(3300,3302) = 2
LCM(3300,3302) = ( 3300 × 3302) / 2
LCM(3300,3302) = 10896600 / 2
LCM(3300,3302) = 5448300

Properties of LCM 3300 and 3302

(i) The LCM of 3302 and 3300 is associative

LCM of 3300 and 3302 = LCM of 3302 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3302

Frequently Asked Questions on LCM of 3300 and 3302

1. What is the LCM of 3300 and 3302?

Answer: LCM of 3300 and 3302 is 5448300.

2. What are the Factors of 3300?

Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.

3. 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.

4. How to Find the LCM of 3300 and 3302?

Answer:

Least Common Multiple of 3300 and 3302 = 5448300

Step 1: Find the prime factorization of 3300

3300 = 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 3302

3302 = 2 x 13 x 127

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

LCM = 5448300 = 2 x 2 x 3 x 5 x 5 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 3300 and 3302 is 5448300.