Least Common Multiple of 3207 and 3215

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 3215 the smallest integer that is 10310505 that is divisible by both numbers.

Least Common Multiple (LCM) of 3207 and 3215 is 10310505.

LCM(3207,3215) = 10310505

LCM of 3207 and 3215

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

LCM of:
and

Least Common Multiple of 3207 and 3215

LCM of 3207 and 3215 is 10310505

Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3215. First we will calculate the prime factors of 3207 and 3215.

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 3215


5 3215
643 643
1

Prime factors of 3215 are 5,643. Prime factorization of 3215 in exponential form is:

3215 = 51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3207 and 3215.

LCM(3207,3215) = 31×51×6431×10691
LCM(3207,3215) = 10310505

Factors of 3207

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

1, 3, 1069, 3207

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1, 5, 643, 3215

Least Common Multiple of 3207 and 3215 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 3215, than apply into the LCM equation.

GCF(3207,3215) = 1
LCM(3207,3215) = ( 3207 × 3215) / 1
LCM(3207,3215) = 10310505 / 1
LCM(3207,3215) = 10310505

Properties of LCM 3207 and 3215

(i) The LCM of 3215 and 3207 is associative

LCM of 3207 and 3215 = LCM of 3215 and 3207

Related Least Common Multiples of 3207

Related Least Common Multiples of 3215

Frequently Asked Questions on LCM of 3207 and 3215

1. What is the LCM of 3207 and 3215?

Answer: LCM of 3207 and 3215 is 10310505.

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 3215?

Answer: Factors of 3215 are 1, 5, 643, 3215. There are 4 integers that are factors of 3215. The greatest factor of 3215 is 3215.

4. How to Find the LCM of 3207 and 3215?

Answer:

Least Common Multiple of 3207 and 3215 = 10310505

Step 1: Find the prime factorization of 3207

3207 = 3 x 1069

Step 2: Find the prime factorization of 3215

3215 = 5 x 643

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

LCM = 10310505 = 3 x 5 x 643 x 1069

Step 4: Therefore, the least common multiple of 3207 and 3215 is 10310505.