Least Common Multiple of 3326 and 3332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3326 and 3332 the smallest integer that is 5541116 that is divisible by both numbers.

Least Common Multiple (LCM) of 3326 and 3332 is 5541116.

LCM(3326,3332) = 5541116

LCM of 3326 and 3332

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

LCM of:
and

Least Common Multiple of 3326 and 3332

LCM of 3326 and 3332 is 5541116

Least common multiple can be found by multiplying the highest exponent prime factors of 3326 and 3332. First we will calculate the prime factors of 3326 and 3332.

Prime Factorization of 3326


2 3326
1663 1663
1

Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:

3326 = 21×16631

Prime Factorization of 3332


2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 3332 are 2, 7,17. Prime factorization of 3332 in exponential form is:

3332 = 22×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3326 and 3332.

LCM(3326,3332) = 22×72×171×16631
LCM(3326,3332) = 5541116

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1, 2, 1663, 3326

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332

Least Common Multiple of 3326 and 3332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3326 and 3332, than apply into the LCM equation.

GCF(3326,3332) = 2
LCM(3326,3332) = ( 3326 × 3332) / 2
LCM(3326,3332) = 11082232 / 2
LCM(3326,3332) = 5541116

Properties of LCM 3326 and 3332

(i) The LCM of 3332 and 3326 is associative

LCM of 3326 and 3332 = LCM of 3332 and 3326

Related Least Common Multiples of 3326

Related Least Common Multiples of 3332

Frequently Asked Questions on LCM of 3326 and 3332

1. What is the LCM of 3326 and 3332?

Answer: LCM of 3326 and 3332 is 5541116.

2. What are the Factors of 3326?

Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.

3. What are the Factors of 3332?

Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.

4. How to Find the LCM of 3326 and 3332?

Answer:

Least Common Multiple of 3326 and 3332 = 5541116

Step 1: Find the prime factorization of 3326

3326 = 2 x 1663

Step 2: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

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

LCM = 5541116 = 2 x 2 x 7 x 7 x 17 x 1663

Step 4: Therefore, the least common multiple of 3326 and 3332 is 5541116.