Least Common Multiple of 3212 and 3219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3212 and 3219 the smallest integer that is 10339428 that is divisible by both numbers.

Least Common Multiple (LCM) of 3212 and 3219 is 10339428.

LCM(3212,3219) = 10339428

LCM of 3212 and 3219

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

LCM of:
and

Least Common Multiple of 3212 and 3219

LCM of 3212 and 3219 is 10339428

Least common multiple can be found by multiplying the highest exponent prime factors of 3212 and 3219. First we will calculate the prime factors of 3212 and 3219.

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

Prime Factorization of 3219


3 3219
29 1073
37 37
1

Prime factors of 3219 are 3, 29,37. Prime factorization of 3219 in exponential form is:

3219 = 31×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3212 and 3219.

LCM(3212,3219) = 22×31×111×291×371×731
LCM(3212,3219) = 10339428

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

Factors of 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1, 3, 29, 37, 87, 111, 1073, 3219

Least Common Multiple of 3212 and 3219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3212 and 3219, than apply into the LCM equation.

GCF(3212,3219) = 1
LCM(3212,3219) = ( 3212 × 3219) / 1
LCM(3212,3219) = 10339428 / 1
LCM(3212,3219) = 10339428

Properties of LCM 3212 and 3219

(i) The LCM of 3219 and 3212 is associative

LCM of 3212 and 3219 = LCM of 3219 and 3212

Related Least Common Multiples of 3212

Related Least Common Multiples of 3219

Frequently Asked Questions on LCM of 3212 and 3219

1. What is the LCM of 3212 and 3219?

Answer: LCM of 3212 and 3219 is 10339428.

2. 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.

3. What are the Factors of 3219?

Answer: Factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219. There are 8 integers that are factors of 3219. The greatest factor of 3219 is 3219.

4. How to Find the LCM of 3212 and 3219?

Answer:

Least Common Multiple of 3212 and 3219 = 10339428

Step 1: Find the prime factorization of 3212

3212 = 2 x 2 x 11 x 73

Step 2: Find the prime factorization of 3219

3219 = 3 x 29 x 37

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

LCM = 10339428 = 2 x 2 x 3 x 11 x 29 x 37 x 73

Step 4: Therefore, the least common multiple of 3212 and 3219 is 10339428.