Least Common Multiple of 3290 and 3295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3290 and 3295 the smallest integer that is 2168110 that is divisible by both numbers.

Least Common Multiple (LCM) of 3290 and 3295 is 2168110.

LCM(3290,3295) = 2168110

LCM of 3290 and 3295

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

LCM of:
and

Least Common Multiple of 3290 and 3295

LCM of 3290 and 3295 is 2168110

Least common multiple can be found by multiplying the highest exponent prime factors of 3290 and 3295. First we will calculate the prime factors of 3290 and 3295.

Prime Factorization of 3290


2 3290
5 1645
7 329
47 47
1

Prime factors of 3290 are 2, 5, 7,47. Prime factorization of 3290 in exponential form is:

3290 = 21×51×71×471

Prime Factorization of 3295


5 3295
659 659
1

Prime factors of 3295 are 5,659. Prime factorization of 3295 in exponential form is:

3295 = 51×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 3290 and 3295.

LCM(3290,3295) = 21×51×71×471×6591
LCM(3290,3295) = 2168110

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290

Factors of 3295

List of positive integer factors of 3295 that divides 3295 without a remainder.

1, 5, 659, 3295

Least Common Multiple of 3290 and 3295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3290 and 3295, than apply into the LCM equation.

GCF(3290,3295) = 5
LCM(3290,3295) = ( 3290 × 3295) / 5
LCM(3290,3295) = 10840550 / 5
LCM(3290,3295) = 2168110

Properties of LCM 3290 and 3295

(i) The LCM of 3295 and 3290 is associative

LCM of 3290 and 3295 = LCM of 3295 and 3290

Related Least Common Multiples of 3290

Related Least Common Multiples of 3295

Frequently Asked Questions on LCM of 3290 and 3295

1. What is the LCM of 3290 and 3295?

Answer: LCM of 3290 and 3295 is 2168110.

2. What are the Factors of 3290?

Answer: Factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. There are 16 integers that are factors of 3290. The greatest factor of 3290 is 3290.

3. What are the Factors of 3295?

Answer: Factors of 3295 are 1, 5, 659, 3295. There are 4 integers that are factors of 3295. The greatest factor of 3295 is 3295.

4. How to Find the LCM of 3290 and 3295?

Answer:

Least Common Multiple of 3290 and 3295 = 2168110

Step 1: Find the prime factorization of 3290

3290 = 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 3295

3295 = 5 x 659

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

LCM = 2168110 = 2 x 5 x 7 x 47 x 659

Step 4: Therefore, the least common multiple of 3290 and 3295 is 2168110.