Least Common Multiple of 3208 and 3216

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 3216 the smallest integer that is 1289616 that is divisible by both numbers.

Least Common Multiple (LCM) of 3208 and 3216 is 1289616.

LCM(3208,3216) = 1289616

LCM of 3208 and 3216

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

LCM of:
and

Least Common Multiple of 3208 and 3216

LCM of 3208 and 3216 is 1289616

Least common multiple can be found by multiplying the highest exponent prime factors of 3208 and 3216. First we will calculate the prime factors of 3208 and 3216.

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 3216


2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 3216 are 2, 3,67. Prime factorization of 3216 in exponential form is:

3216 = 24×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3208 and 3216.

LCM(3208,3216) = 24×31×671×4011
LCM(3208,3216) = 1289616

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 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216

Least Common Multiple of 3208 and 3216 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 3216, than apply into the LCM equation.

GCF(3208,3216) = 8
LCM(3208,3216) = ( 3208 × 3216) / 8
LCM(3208,3216) = 10316928 / 8
LCM(3208,3216) = 1289616

Properties of LCM 3208 and 3216

(i) The LCM of 3216 and 3208 is associative

LCM of 3208 and 3216 = LCM of 3216 and 3208

Related Least Common Multiples of 3208

Related Least Common Multiples of 3216

Frequently Asked Questions on LCM of 3208 and 3216

1. What is the LCM of 3208 and 3216?

Answer: LCM of 3208 and 3216 is 1289616.

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 3216?

Answer: Factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216. There are 20 integers that are factors of 3216. The greatest factor of 3216 is 3216.

4. How to Find the LCM of 3208 and 3216?

Answer:

Least Common Multiple of 3208 and 3216 = 1289616

Step 1: Find the prime factorization of 3208

3208 = 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 3216

3216 = 2 x 2 x 2 x 2 x 3 x 67

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

LCM = 1289616 = 2 x 2 x 2 x 2 x 3 x 67 x 401

Step 4: Therefore, the least common multiple of 3208 and 3216 is 1289616.