Least Common Multiple of 3314 and 3322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3314 and 3322 the smallest integer that is 5504554 that is divisible by both numbers.

Least Common Multiple (LCM) of 3314 and 3322 is 5504554.

LCM(3314,3322) = 5504554

LCM of 3314 and 3322

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

LCM of:
and

Least Common Multiple of 3314 and 3322

LCM of 3314 and 3322 is 5504554

Least common multiple can be found by multiplying the highest exponent prime factors of 3314 and 3322. First we will calculate the prime factors of 3314 and 3322.

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

Prime Factorization of 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2, 11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3314 and 3322.

LCM(3314,3322) = 21×111×1511×16571
LCM(3314,3322) = 5504554

Factors of 3314

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

1, 2, 1657, 3314

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1, 2, 11, 22, 151, 302, 1661, 3322

Least Common Multiple of 3314 and 3322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3314 and 3322, than apply into the LCM equation.

GCF(3314,3322) = 2
LCM(3314,3322) = ( 3314 × 3322) / 2
LCM(3314,3322) = 11009108 / 2
LCM(3314,3322) = 5504554

Properties of LCM 3314 and 3322

(i) The LCM of 3322 and 3314 is associative

LCM of 3314 and 3322 = LCM of 3322 and 3314

Related Least Common Multiples of 3314

Related Least Common Multiples of 3322

Frequently Asked Questions on LCM of 3314 and 3322

1. What is the LCM of 3314 and 3322?

Answer: LCM of 3314 and 3322 is 5504554.

2. 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.

3. What are the Factors of 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

4. How to Find the LCM of 3314 and 3322?

Answer:

Least Common Multiple of 3314 and 3322 = 5504554

Step 1: Find the prime factorization of 3314

3314 = 2 x 1657

Step 2: Find the prime factorization of 3322

3322 = 2 x 11 x 151

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

LCM = 5504554 = 2 x 11 x 151 x 1657

Step 4: Therefore, the least common multiple of 3314 and 3322 is 5504554.