Least Common Multiple of 3299 and 3305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3299 and 3305 the smallest integer that is 10903195 that is divisible by both numbers.

Least Common Multiple (LCM) of 3299 and 3305 is 10903195.

LCM(3299,3305) = 10903195

LCM of 3299 and 3305

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

LCM of:
and

Least Common Multiple of 3299 and 3305

LCM of 3299 and 3305 is 10903195

Least common multiple can be found by multiplying the highest exponent prime factors of 3299 and 3305. First we will calculate the prime factors of 3299 and 3305.

Prime Factorization of 3299


3299 3299
1

Prime factors of 3299 are 3299. Prime factorization of 3299 in exponential form is:

3299 = 32991

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 3299 and 3305.

LCM(3299,3305) = 51×6611×32991
LCM(3299,3305) = 10903195

Factors of 3299

List of positive integer factors of 3299 that divides 3299 without a remainder.

1, 3299

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661, 3305

Least Common Multiple of 3299 and 3305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3299 and 3305, than apply into the LCM equation.

GCF(3299,3305) = 1
LCM(3299,3305) = ( 3299 × 3305) / 1
LCM(3299,3305) = 10903195 / 1
LCM(3299,3305) = 10903195

Properties of LCM 3299 and 3305

(i) The LCM of 3305 and 3299 is associative

LCM of 3299 and 3305 = LCM of 3305 and 3299

Related Least Common Multiples of 3299

Related Least Common Multiples of 3305

Frequently Asked Questions on LCM of 3299 and 3305

1. What is the LCM of 3299 and 3305?

Answer: LCM of 3299 and 3305 is 10903195.

2. What are the Factors of 3299?

Answer: Factors of 3299 are 1, 3299. There are 2 integers that are factors of 3299. The greatest factor of 3299 is 3299.

3. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

4. How to Find the LCM of 3299 and 3305?

Answer:

Least Common Multiple of 3299 and 3305 = 10903195

Step 1: Find the prime factorization of 3299

3299 = 3299

Step 2: Find the prime factorization of 3305

3305 = 5 x 661

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

LCM = 10903195 = 5 x 661 x 3299

Step 4: Therefore, the least common multiple of 3299 and 3305 is 10903195.