Least Common Multiple of 3305 and 3308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3305 and 3308 the smallest integer that is 10932940 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3308 is 10932940.

LCM(3305,3308) = 10932940

LCM of 3305 and 3308

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

LCM of:
and

Least Common Multiple of 3305 and 3308

LCM of 3305 and 3308 is 10932940

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3308. First we will calculate the prime factors of 3305 and 3308.

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

Prime Factorization of 3308


2 3308
2 1654
827 827
1

Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:

3308 = 22×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3308.

LCM(3305,3308) = 22×51×6611×8271
LCM(3305,3308) = 10932940

Factors of 3305

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

1, 5, 661, 3305

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1, 2, 4, 827, 1654, 3308

Least Common Multiple of 3305 and 3308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3305 and 3308, than apply into the LCM equation.

GCF(3305,3308) = 1
LCM(3305,3308) = ( 3305 × 3308) / 1
LCM(3305,3308) = 10932940 / 1
LCM(3305,3308) = 10932940

Properties of LCM 3305 and 3308

(i) The LCM of 3308 and 3305 is associative

LCM of 3305 and 3308 = LCM of 3308 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3308

Frequently Asked Questions on LCM of 3305 and 3308

1. What is the LCM of 3305 and 3308?

Answer: LCM of 3305 and 3308 is 10932940.

2. 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.

3. What are the Factors of 3308?

Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.

4. How to Find the LCM of 3305 and 3308?

Answer:

Least Common Multiple of 3305 and 3308 = 10932940

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3308

3308 = 2 x 2 x 827

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

LCM = 10932940 = 2 x 2 x 5 x 661 x 827

Step 4: Therefore, the least common multiple of 3305 and 3308 is 10932940.