Least Common Multiple of 3294 and 3301

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 3301 the smallest integer that is 10873494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3294 and 3301 is 10873494.

LCM(3294,3301) = 10873494

LCM of 3294 and 3301

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

LCM of:
and

Least Common Multiple of 3294 and 3301

LCM of 3294 and 3301 is 10873494

Least common multiple can be found by multiplying the highest exponent prime factors of 3294 and 3301. First we will calculate the prime factors of 3294 and 3301.

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 3301


3301 3301
1

Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:

3301 = 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 3294 and 3301.

LCM(3294,3301) = 21×33×611×33011
LCM(3294,3301) = 10873494

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 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1, 3301

Least Common Multiple of 3294 and 3301 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 3301, than apply into the LCM equation.

GCF(3294,3301) = 1
LCM(3294,3301) = ( 3294 × 3301) / 1
LCM(3294,3301) = 10873494 / 1
LCM(3294,3301) = 10873494

Properties of LCM 3294 and 3301

(i) The LCM of 3301 and 3294 is associative

LCM of 3294 and 3301 = LCM of 3301 and 3294

Related Least Common Multiples of 3294

Related Least Common Multiples of 3301

Frequently Asked Questions on LCM of 3294 and 3301

1. What is the LCM of 3294 and 3301?

Answer: LCM of 3294 and 3301 is 10873494.

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 3301?

Answer: Factors of 3301 are 1, 3301. There are 2 integers that are factors of 3301. The greatest factor of 3301 is 3301.

4. How to Find the LCM of 3294 and 3301?

Answer:

Least Common Multiple of 3294 and 3301 = 10873494

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 3301

3301 = 3301

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

LCM = 10873494 = 2 x 3 x 3 x 3 x 61 x 3301

Step 4: Therefore, the least common multiple of 3294 and 3301 is 10873494.