Least Common Multiple of 3207 and 3213

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 3213 the smallest integer that is 3434697 that is divisible by both numbers.

Least Common Multiple (LCM) of 3207 and 3213 is 3434697.

LCM(3207,3213) = 3434697

LCM of 3207 and 3213

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

LCM of:
and

Least Common Multiple of 3207 and 3213

LCM of 3207 and 3213 is 3434697

Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3213. First we will calculate the prime factors of 3207 and 3213.

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 3213


3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 3213 are 3, 7,17. Prime factorization of 3213 in exponential form is:

3213 = 33×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3207 and 3213.

LCM(3207,3213) = 33×71×171×10691
LCM(3207,3213) = 3434697

Factors of 3207

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

1, 3, 1069, 3207

Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213

Least Common Multiple of 3207 and 3213 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 3213, than apply into the LCM equation.

GCF(3207,3213) = 3
LCM(3207,3213) = ( 3207 × 3213) / 3
LCM(3207,3213) = 10304091 / 3
LCM(3207,3213) = 3434697

Properties of LCM 3207 and 3213

(i) The LCM of 3213 and 3207 is associative

LCM of 3207 and 3213 = LCM of 3213 and 3207

Related Least Common Multiples of 3207

Related Least Common Multiples of 3213

Frequently Asked Questions on LCM of 3207 and 3213

1. What is the LCM of 3207 and 3213?

Answer: LCM of 3207 and 3213 is 3434697.

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 3213?

Answer: Factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213. There are 16 integers that are factors of 3213. The greatest factor of 3213 is 3213.

4. How to Find the LCM of 3207 and 3213?

Answer:

Least Common Multiple of 3207 and 3213 = 3434697

Step 1: Find the prime factorization of 3207

3207 = 3 x 1069

Step 2: Find the prime factorization of 3213

3213 = 3 x 3 x 3 x 7 x 17

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

LCM = 3434697 = 3 x 3 x 3 x 7 x 17 x 1069

Step 4: Therefore, the least common multiple of 3207 and 3213 is 3434697.