Least Common Multiple of 3294 and 3298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3294 and 3298 the smallest integer that is 5431806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3294 and 3298 is 5431806.

LCM(3294,3298) = 5431806

LCM of 3294 and 3298

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

LCM of:
and

Least Common Multiple of 3294 and 3298

LCM of 3294 and 3298 is 5431806

Least common multiple can be found by multiplying the highest exponent prime factors of 3294 and 3298. First we will calculate the prime factors of 3294 and 3298.

Prime Factorization of 3294


2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 3294 are 2, 3,61. Prime factorization of 3294 in exponential form is:

3294 = 21×33×611

Prime Factorization of 3298


2 3298
17 1649
97 97
1

Prime factors of 3298 are 2, 17,97. Prime factorization of 3298 in exponential form is:

3298 = 21×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3294 and 3298.

LCM(3294,3298) = 21×33×171×611×971
LCM(3294,3298) = 5431806

Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1, 2, 17, 34, 97, 194, 1649, 3298

Least Common Multiple of 3294 and 3298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3294 and 3298, than apply into the LCM equation.

GCF(3294,3298) = 2
LCM(3294,3298) = ( 3294 × 3298) / 2
LCM(3294,3298) = 10863612 / 2
LCM(3294,3298) = 5431806

Properties of LCM 3294 and 3298

(i) The LCM of 3298 and 3294 is associative

LCM of 3294 and 3298 = LCM of 3298 and 3294

Related Least Common Multiples of 3294

Related Least Common Multiples of 3298

Frequently Asked Questions on LCM of 3294 and 3298

1. What is the LCM of 3294 and 3298?

Answer: LCM of 3294 and 3298 is 5431806.

2. What are the Factors of 3294?

Answer: Factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294. There are 16 integers that are factors of 3294. The greatest factor of 3294 is 3294.

3. What are the Factors of 3298?

Answer: Factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298. There are 8 integers that are factors of 3298. The greatest factor of 3298 is 3298.

4. How to Find the LCM of 3294 and 3298?

Answer:

Least Common Multiple of 3294 and 3298 = 5431806

Step 1: Find the prime factorization of 3294

3294 = 2 x 3 x 3 x 3 x 61

Step 2: Find the prime factorization of 3298

3298 = 2 x 17 x 97

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

LCM = 5431806 = 2 x 3 x 3 x 3 x 17 x 61 x 97

Step 4: Therefore, the least common multiple of 3294 and 3298 is 5431806.