Least Common Multiple of 3305 and 3312

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 3312 the smallest integer that is 10946160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3312 is 10946160.

LCM(3305,3312) = 10946160

LCM of 3305 and 3312

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

LCM of:
and

Least Common Multiple of 3305 and 3312

LCM of 3305 and 3312 is 10946160

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3312. First we will calculate the prime factors of 3305 and 3312.

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 3312


2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 3312 are 2, 3,23. Prime factorization of 3312 in exponential form is:

3312 = 24×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3312.

LCM(3305,3312) = 24×32×51×231×6611
LCM(3305,3312) = 10946160

Factors of 3305

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

1, 5, 661, 3305

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312

Least Common Multiple of 3305 and 3312 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 3312, than apply into the LCM equation.

GCF(3305,3312) = 1
LCM(3305,3312) = ( 3305 × 3312) / 1
LCM(3305,3312) = 10946160 / 1
LCM(3305,3312) = 10946160

Properties of LCM 3305 and 3312

(i) The LCM of 3312 and 3305 is associative

LCM of 3305 and 3312 = LCM of 3312 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3312

Frequently Asked Questions on LCM of 3305 and 3312

1. What is the LCM of 3305 and 3312?

Answer: LCM of 3305 and 3312 is 10946160.

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 3312?

Answer: Factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. There are 30 integers that are factors of 3312. The greatest factor of 3312 is 3312.

4. How to Find the LCM of 3305 and 3312?

Answer:

Least Common Multiple of 3305 and 3312 = 10946160

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3312

3312 = 2 x 2 x 2 x 2 x 3 x 3 x 23

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

LCM = 10946160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 661

Step 4: Therefore, the least common multiple of 3305 and 3312 is 10946160.