Least Common Multiple of 3332 and 3339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3332 and 3339 the smallest integer that is 1589364 that is divisible by both numbers.

Least Common Multiple (LCM) of 3332 and 3339 is 1589364.

LCM(3332,3339) = 1589364

LCM of 3332 and 3339

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

LCM of:
and

Least Common Multiple of 3332 and 3339

LCM of 3332 and 3339 is 1589364

Least common multiple can be found by multiplying the highest exponent prime factors of 3332 and 3339. First we will calculate the prime factors of 3332 and 3339.

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

Prime Factorization of 3339


3 3339
3 1113
7 371
53 53
1

Prime factors of 3339 are 3, 7,53. Prime factorization of 3339 in exponential form is:

3339 = 32×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3332 and 3339.

LCM(3332,3339) = 22×32×72×171×531
LCM(3332,3339) = 1589364

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

Factors of 3339

List of positive integer factors of 3339 that divides 3339 without a remainder.

1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339

Least Common Multiple of 3332 and 3339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3332 and 3339, than apply into the LCM equation.

GCF(3332,3339) = 7
LCM(3332,3339) = ( 3332 × 3339) / 7
LCM(3332,3339) = 11125548 / 7
LCM(3332,3339) = 1589364

Properties of LCM 3332 and 3339

(i) The LCM of 3339 and 3332 is associative

LCM of 3332 and 3339 = LCM of 3339 and 3332

Related Least Common Multiples of 3332

Related Least Common Multiples of 3339

Frequently Asked Questions on LCM of 3332 and 3339

1. What is the LCM of 3332 and 3339?

Answer: LCM of 3332 and 3339 is 1589364.

2. 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.

3. What are the Factors of 3339?

Answer: Factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339. There are 12 integers that are factors of 3339. The greatest factor of 3339 is 3339.

4. How to Find the LCM of 3332 and 3339?

Answer:

Least Common Multiple of 3332 and 3339 = 1589364

Step 1: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 3339

3339 = 3 x 3 x 7 x 53

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

LCM = 1589364 = 2 x 2 x 3 x 3 x 7 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 3332 and 3339 is 1589364.