Least Common Multiple of 3301 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 3301 and 3305 the smallest integer that is 10909805 that is divisible by both numbers.

Least Common Multiple (LCM) of 3301 and 3305 is 10909805.

LCM(3301,3305) = 10909805

LCM of 3301 and 3305

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

LCM of:
and

Least Common Multiple of 3301 and 3305

LCM of 3301 and 3305 is 10909805

Least common multiple can be found by multiplying the highest exponent prime factors of 3301 and 3305. First we will calculate the prime factors of 3301 and 3305.

Prime Factorization of 3301


3301 3301
1

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

3301 = 33011

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 3301 and 3305.

LCM(3301,3305) = 51×6611×33011
LCM(3301,3305) = 10909805

Factors of 3301

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

1, 3301

Factors of 3305

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

1, 5, 661, 3305

Least Common Multiple of 3301 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 3301 and 3305, than apply into the LCM equation.

GCF(3301,3305) = 1
LCM(3301,3305) = ( 3301 × 3305) / 1
LCM(3301,3305) = 10909805 / 1
LCM(3301,3305) = 10909805

Properties of LCM 3301 and 3305

(i) The LCM of 3305 and 3301 is associative

LCM of 3301 and 3305 = LCM of 3305 and 3301

Related Least Common Multiples of 3301

Related Least Common Multiples of 3305

Frequently Asked Questions on LCM of 3301 and 3305

1. What is the LCM of 3301 and 3305?

Answer: LCM of 3301 and 3305 is 10909805.

2. 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.

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 3301 and 3305?

Answer:

Least Common Multiple of 3301 and 3305 = 10909805

Step 1: Find the prime factorization of 3301

3301 = 3301

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 = 10909805 = 5 x 661 x 3301

Step 4: Therefore, the least common multiple of 3301 and 3305 is 10909805.