Least Common Multiple of 3209 and 3214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3209 and 3214 the smallest integer that is 10313726 that is divisible by both numbers.

Least Common Multiple (LCM) of 3209 and 3214 is 10313726.

LCM(3209,3214) = 10313726

LCM of 3209 and 3214

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

LCM of:
and

Least Common Multiple of 3209 and 3214

LCM of 3209 and 3214 is 10313726

Least common multiple can be found by multiplying the highest exponent prime factors of 3209 and 3214. First we will calculate the prime factors of 3209 and 3214.

Prime Factorization of 3209


3209 3209
1

Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:

3209 = 32091

Prime Factorization of 3214


2 3214
1607 1607
1

Prime factors of 3214 are 2,1607. Prime factorization of 3214 in exponential form is:

3214 = 21×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 3209 and 3214.

LCM(3209,3214) = 21×16071×32091
LCM(3209,3214) = 10313726

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1, 3209

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1, 2, 1607, 3214

Least Common Multiple of 3209 and 3214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3209 and 3214, than apply into the LCM equation.

GCF(3209,3214) = 1
LCM(3209,3214) = ( 3209 × 3214) / 1
LCM(3209,3214) = 10313726 / 1
LCM(3209,3214) = 10313726

Properties of LCM 3209 and 3214

(i) The LCM of 3214 and 3209 is associative

LCM of 3209 and 3214 = LCM of 3214 and 3209

Related Least Common Multiples of 3209

Related Least Common Multiples of 3214

Frequently Asked Questions on LCM of 3209 and 3214

1. What is the LCM of 3209 and 3214?

Answer: LCM of 3209 and 3214 is 10313726.

2. What are the Factors of 3209?

Answer: Factors of 3209 are 1, 3209. There are 2 integers that are factors of 3209. The greatest factor of 3209 is 3209.

3. What are the Factors of 3214?

Answer: Factors of 3214 are 1, 2, 1607, 3214. There are 4 integers that are factors of 3214. The greatest factor of 3214 is 3214.

4. How to Find the LCM of 3209 and 3214?

Answer:

Least Common Multiple of 3209 and 3214 = 10313726

Step 1: Find the prime factorization of 3209

3209 = 3209

Step 2: Find the prime factorization of 3214

3214 = 2 x 1607

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

LCM = 10313726 = 2 x 1607 x 3209

Step 4: Therefore, the least common multiple of 3209 and 3214 is 10313726.