Least Common Multiple of 5208 and 5216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5208 and 5216 the smallest integer that is 3395616 that is divisible by both numbers.

Least Common Multiple (LCM) of 5208 and 5216 is 3395616.

LCM(5208,5216) = 3395616

LCM of 5208 and 5216

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

LCM of:
and

Least Common Multiple of 5208 and 5216

LCM of 5208 and 5216 is 3395616

Least common multiple can be found by multiplying the highest exponent prime factors of 5208 and 5216. First we will calculate the prime factors of 5208 and 5216.

Prime Factorization of 5208


2 5208
2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 5208 are 2, 3, 7,31. Prime factorization of 5208 in exponential form is:

5208 = 23×31×71×311

Prime Factorization of 5216


2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 5216 are 2,163. Prime factorization of 5216 in exponential form is:

5216 = 25×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5208 and 5216.

LCM(5208,5216) = 25×31×71×311×1631
LCM(5208,5216) = 3395616

Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216

Least Common Multiple of 5208 and 5216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5208 and 5216, than apply into the LCM equation.

GCF(5208,5216) = 8
LCM(5208,5216) = ( 5208 × 5216) / 8
LCM(5208,5216) = 27164928 / 8
LCM(5208,5216) = 3395616

Properties of LCM 5208 and 5216

(i) The LCM of 5216 and 5208 is associative

LCM of 5208 and 5216 = LCM of 5216 and 5208

Related Least Common Multiples of 5208

Related Least Common Multiples of 5216

Frequently Asked Questions on LCM of 5208 and 5216

1. What is the LCM of 5208 and 5216?

Answer: LCM of 5208 and 5216 is 3395616.

2. What are the Factors of 5208?

Answer: Factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208. There are 32 integers that are factors of 5208. The greatest factor of 5208 is 5208.

3. What are the Factors of 5216?

Answer: Factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216. There are 12 integers that are factors of 5216. The greatest factor of 5216 is 5216.

4. How to Find the LCM of 5208 and 5216?

Answer:

Least Common Multiple of 5208 and 5216 = 3395616

Step 1: Find the prime factorization of 5208

5208 = 2 x 2 x 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 5216

5216 = 2 x 2 x 2 x 2 x 2 x 163

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

LCM = 3395616 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 31 x 163

Step 4: Therefore, the least common multiple of 5208 and 5216 is 3395616.