Least Common Multiple of 3207 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 3207 and 3214 the smallest integer that is 10307298 that is divisible by both numbers.

Least Common Multiple (LCM) of 3207 and 3214 is 10307298.

LCM(3207,3214) = 10307298

LCM of 3207 and 3214

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

LCM of:
and

Least Common Multiple of 3207 and 3214

LCM of 3207 and 3214 is 10307298

Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3214. First we will calculate the prime factors of 3207 and 3214.

Prime Factorization of 3207


3 3207
1069 1069
1

Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:

3207 = 31×10691

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 3207 and 3214.

LCM(3207,3214) = 21×31×10691×16071
LCM(3207,3214) = 10307298

Factors of 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1, 3, 1069, 3207

Factors of 3214

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

1, 2, 1607, 3214

Least Common Multiple of 3207 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 3207 and 3214, than apply into the LCM equation.

GCF(3207,3214) = 1
LCM(3207,3214) = ( 3207 × 3214) / 1
LCM(3207,3214) = 10307298 / 1
LCM(3207,3214) = 10307298

Properties of LCM 3207 and 3214

(i) The LCM of 3214 and 3207 is associative

LCM of 3207 and 3214 = LCM of 3214 and 3207

Related Least Common Multiples of 3207

Related Least Common Multiples of 3214

Frequently Asked Questions on LCM of 3207 and 3214

1. What is the LCM of 3207 and 3214?

Answer: LCM of 3207 and 3214 is 10307298.

2. What are the Factors of 3207?

Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.

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 3207 and 3214?

Answer:

Least Common Multiple of 3207 and 3214 = 10307298

Step 1: Find the prime factorization of 3207

3207 = 3 x 1069

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 = 10307298 = 2 x 3 x 1069 x 1607

Step 4: Therefore, the least common multiple of 3207 and 3214 is 10307298.