Least Common Multiple of 3301 and 3307

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 3307 the smallest integer that is 10916407 that is divisible by both numbers.

Least Common Multiple (LCM) of 3301 and 3307 is 10916407.

LCM(3301,3307) = 10916407

LCM of 3301 and 3307

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

LCM of:
and

Least Common Multiple of 3301 and 3307

LCM of 3301 and 3307 is 10916407

Least common multiple can be found by multiplying the highest exponent prime factors of 3301 and 3307. First we will calculate the prime factors of 3301 and 3307.

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 3307


3307 3307
1

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 3301 and 3307.

LCM(3301,3307) = 33011×33071
LCM(3301,3307) = 10916407

Factors of 3301

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

1, 3301

Factors of 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1, 3307

Least Common Multiple of 3301 and 3307 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 3307, than apply into the LCM equation.

GCF(3301,3307) = 1
LCM(3301,3307) = ( 3301 × 3307) / 1
LCM(3301,3307) = 10916407 / 1
LCM(3301,3307) = 10916407

Properties of LCM 3301 and 3307

(i) The LCM of 3307 and 3301 is associative

LCM of 3301 and 3307 = LCM of 3307 and 3301

Related Least Common Multiples of 3301

Related Least Common Multiples of 3307

Frequently Asked Questions on LCM of 3301 and 3307

1. What is the LCM of 3301 and 3307?

Answer: LCM of 3301 and 3307 is 10916407.

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 3307?

Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.

4. How to Find the LCM of 3301 and 3307?

Answer:

Least Common Multiple of 3301 and 3307 = 10916407

Step 1: Find the prime factorization of 3301

3301 = 3301

Step 2: Find the prime factorization of 3307

3307 = 3307

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

LCM = 10916407 = 3301 x 3307

Step 4: Therefore, the least common multiple of 3301 and 3307 is 10916407.