Least Common Multiple of 3208 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 3208 and 3212 the smallest integer that is 2576024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3208 and 3212 is 2576024.

LCM(3208,3212) = 2576024

LCM of 3208 and 3212

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

LCM of:
and

Least Common Multiple of 3208 and 3212

LCM of 3208 and 3212 is 2576024

Least common multiple can be found by multiplying the highest exponent prime factors of 3208 and 3212. First we will calculate the prime factors of 3208 and 3212.

Prime Factorization of 3208


2 3208
2 1604
2 802
401 401
1

Prime factors of 3208 are 2,401. Prime factorization of 3208 in exponential form is:

3208 = 23×4011

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 3208 and 3212.

LCM(3208,3212) = 23×111×731×4011
LCM(3208,3212) = 2576024

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1, 2, 4, 8, 401, 802, 1604, 3208

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 3208 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 3208 and 3212, than apply into the LCM equation.

GCF(3208,3212) = 4
LCM(3208,3212) = ( 3208 × 3212) / 4
LCM(3208,3212) = 10304096 / 4
LCM(3208,3212) = 2576024

Properties of LCM 3208 and 3212

(i) The LCM of 3212 and 3208 is associative

LCM of 3208 and 3212 = LCM of 3212 and 3208

Related Least Common Multiples of 3208

Related Least Common Multiples of 3212

Frequently Asked Questions on LCM of 3208 and 3212

1. What is the LCM of 3208 and 3212?

Answer: LCM of 3208 and 3212 is 2576024.

2. What are the Factors of 3208?

Answer: Factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208. There are 8 integers that are factors of 3208. The greatest factor of 3208 is 3208.

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 3208 and 3212?

Answer:

Least Common Multiple of 3208 and 3212 = 2576024

Step 1: Find the prime factorization of 3208

3208 = 2 x 2 x 2 x 401

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 = 2576024 = 2 x 2 x 2 x 11 x 73 x 401

Step 4: Therefore, the least common multiple of 3208 and 3212 is 2576024.