Least Common Multiple of 3332 and 3340

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 3340 the smallest integer that is 2782220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3332 and 3340 is 2782220.

LCM(3332,3340) = 2782220

LCM of 3332 and 3340

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

LCM of:
and

Least Common Multiple of 3332 and 3340

LCM of 3332 and 3340 is 2782220

Least common multiple can be found by multiplying the highest exponent prime factors of 3332 and 3340. First we will calculate the prime factors of 3332 and 3340.

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 3340


2 3340
2 1670
5 835
167 167
1

Prime factors of 3340 are 2, 5,167. Prime factorization of 3340 in exponential form is:

3340 = 22×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3332 and 3340.

LCM(3332,3340) = 22×51×72×171×1671
LCM(3332,3340) = 2782220

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 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340

Least Common Multiple of 3332 and 3340 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 3340, than apply into the LCM equation.

GCF(3332,3340) = 4
LCM(3332,3340) = ( 3332 × 3340) / 4
LCM(3332,3340) = 11128880 / 4
LCM(3332,3340) = 2782220

Properties of LCM 3332 and 3340

(i) The LCM of 3340 and 3332 is associative

LCM of 3332 and 3340 = LCM of 3340 and 3332

Related Least Common Multiples of 3332

Related Least Common Multiples of 3340

Frequently Asked Questions on LCM of 3332 and 3340

1. What is the LCM of 3332 and 3340?

Answer: LCM of 3332 and 3340 is 2782220.

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 3340?

Answer: Factors of 3340 are 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340. There are 12 integers that are factors of 3340. The greatest factor of 3340 is 3340.

4. How to Find the LCM of 3332 and 3340?

Answer:

Least Common Multiple of 3332 and 3340 = 2782220

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 3340

3340 = 2 x 2 x 5 x 167

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

LCM = 2782220 = 2 x 2 x 5 x 7 x 7 x 17 x 167

Step 4: Therefore, the least common multiple of 3332 and 3340 is 2782220.