Least Common Multiple of 3309 and 3314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3309 and 3314 the smallest integer that is 10966026 that is divisible by both numbers.

Least Common Multiple (LCM) of 3309 and 3314 is 10966026.

LCM(3309,3314) = 10966026

LCM of 3309 and 3314

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

LCM of:
and

Least Common Multiple of 3309 and 3314

LCM of 3309 and 3314 is 10966026

Least common multiple can be found by multiplying the highest exponent prime factors of 3309 and 3314. First we will calculate the prime factors of 3309 and 3314.

Prime Factorization of 3309


3 3309
1103 1103
1

Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:

3309 = 31×11031

Prime Factorization of 3314


2 3314
1657 1657
1

Prime factors of 3314 are 2,1657. Prime factorization of 3314 in exponential form is:

3314 = 21×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 3309 and 3314.

LCM(3309,3314) = 21×31×11031×16571
LCM(3309,3314) = 10966026

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1, 3, 1103, 3309

Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1, 2, 1657, 3314

Least Common Multiple of 3309 and 3314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3309 and 3314, than apply into the LCM equation.

GCF(3309,3314) = 1
LCM(3309,3314) = ( 3309 × 3314) / 1
LCM(3309,3314) = 10966026 / 1
LCM(3309,3314) = 10966026

Properties of LCM 3309 and 3314

(i) The LCM of 3314 and 3309 is associative

LCM of 3309 and 3314 = LCM of 3314 and 3309

Related Least Common Multiples of 3309

Related Least Common Multiples of 3314

Frequently Asked Questions on LCM of 3309 and 3314

1. What is the LCM of 3309 and 3314?

Answer: LCM of 3309 and 3314 is 10966026.

2. What are the Factors of 3309?

Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.

3. What are the Factors of 3314?

Answer: Factors of 3314 are 1, 2, 1657, 3314. There are 4 integers that are factors of 3314. The greatest factor of 3314 is 3314.

4. How to Find the LCM of 3309 and 3314?

Answer:

Least Common Multiple of 3309 and 3314 = 10966026

Step 1: Find the prime factorization of 3309

3309 = 3 x 1103

Step 2: Find the prime factorization of 3314

3314 = 2 x 1657

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

LCM = 10966026 = 2 x 3 x 1103 x 1657

Step 4: Therefore, the least common multiple of 3309 and 3314 is 10966026.