Least Common Multiple of 3310 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 3310 and 3314 the smallest integer that is 5484670 that is divisible by both numbers.

Least Common Multiple (LCM) of 3310 and 3314 is 5484670.

LCM(3310,3314) = 5484670

LCM of 3310 and 3314

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

LCM of:
and

Least Common Multiple of 3310 and 3314

LCM of 3310 and 3314 is 5484670

Least common multiple can be found by multiplying the highest exponent prime factors of 3310 and 3314. First we will calculate the prime factors of 3310 and 3314.

Prime Factorization of 3310


2 3310
5 1655
331 331
1

Prime factors of 3310 are 2, 5,331. Prime factorization of 3310 in exponential form is:

3310 = 21×51×3311

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 3310 and 3314.

LCM(3310,3314) = 21×51×3311×16571
LCM(3310,3314) = 5484670

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1, 2, 5, 10, 331, 662, 1655, 3310

Factors of 3314

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

1, 2, 1657, 3314

Least Common Multiple of 3310 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 3310 and 3314, than apply into the LCM equation.

GCF(3310,3314) = 2
LCM(3310,3314) = ( 3310 × 3314) / 2
LCM(3310,3314) = 10969340 / 2
LCM(3310,3314) = 5484670

Properties of LCM 3310 and 3314

(i) The LCM of 3314 and 3310 is associative

LCM of 3310 and 3314 = LCM of 3314 and 3310

Related Least Common Multiples of 3310

Related Least Common Multiples of 3314

Frequently Asked Questions on LCM of 3310 and 3314

1. What is the LCM of 3310 and 3314?

Answer: LCM of 3310 and 3314 is 5484670.

2. What are the Factors of 3310?

Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.

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 3310 and 3314?

Answer:

Least Common Multiple of 3310 and 3314 = 5484670

Step 1: Find the prime factorization of 3310

3310 = 2 x 5 x 331

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 = 5484670 = 2 x 5 x 331 x 1657

Step 4: Therefore, the least common multiple of 3310 and 3314 is 5484670.