Least Common Multiple of 3207 and 3212

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 3212 the smallest integer that is 10300884 that is divisible by both numbers.

Least Common Multiple (LCM) of 3207 and 3212 is 10300884.

LCM(3207,3212) = 10300884

LCM of 3207 and 3212

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

LCM of:
and

Least Common Multiple of 3207 and 3212

LCM of 3207 and 3212 is 10300884

Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3212. First we will calculate the prime factors of 3207 and 3212.

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 3212


2 3212
2 1606
11 803
73 73
1

Prime factors of 3212 are 2, 11,73. Prime factorization of 3212 in exponential form is:

3212 = 22×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3207 and 3212.

LCM(3207,3212) = 22×31×111×731×10691
LCM(3207,3212) = 10300884

Factors of 3207

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

1, 3, 1069, 3207

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212

Least Common Multiple of 3207 and 3212 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 3212, than apply into the LCM equation.

GCF(3207,3212) = 1
LCM(3207,3212) = ( 3207 × 3212) / 1
LCM(3207,3212) = 10300884 / 1
LCM(3207,3212) = 10300884

Properties of LCM 3207 and 3212

(i) The LCM of 3212 and 3207 is associative

LCM of 3207 and 3212 = LCM of 3212 and 3207

Related Least Common Multiples of 3207

Related Least Common Multiples of 3212

Frequently Asked Questions on LCM of 3207 and 3212

1. What is the LCM of 3207 and 3212?

Answer: LCM of 3207 and 3212 is 10300884.

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 3212?

Answer: Factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212. There are 12 integers that are factors of 3212. The greatest factor of 3212 is 3212.

4. How to Find the LCM of 3207 and 3212?

Answer:

Least Common Multiple of 3207 and 3212 = 10300884

Step 1: Find the prime factorization of 3207

3207 = 3 x 1069

Step 2: Find the prime factorization of 3212

3212 = 2 x 2 x 11 x 73

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

LCM = 10300884 = 2 x 2 x 3 x 11 x 73 x 1069

Step 4: Therefore, the least common multiple of 3207 and 3212 is 10300884.