Least Common Multiple of 5212 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 5212 and 5216 the smallest integer that is 6796448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5212 and 5216 is 6796448.

LCM(5212,5216) = 6796448

LCM of 5212 and 5216

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

LCM of:
and

Least Common Multiple of 5212 and 5216

LCM of 5212 and 5216 is 6796448

Least common multiple can be found by multiplying the highest exponent prime factors of 5212 and 5216. First we will calculate the prime factors of 5212 and 5216.

Prime Factorization of 5212


2 5212
2 2606
1303 1303
1

Prime factors of 5212 are 2,1303. Prime factorization of 5212 in exponential form is:

5212 = 22×13031

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 5212 and 5216.

LCM(5212,5216) = 25×1631×13031
LCM(5212,5216) = 6796448

Factors of 5212

List of positive integer factors of 5212 that divides 5212 without a remainder.

1, 2, 4, 1303, 2606, 5212

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 5212 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 5212 and 5216, than apply into the LCM equation.

GCF(5212,5216) = 4
LCM(5212,5216) = ( 5212 × 5216) / 4
LCM(5212,5216) = 27185792 / 4
LCM(5212,5216) = 6796448

Properties of LCM 5212 and 5216

(i) The LCM of 5216 and 5212 is associative

LCM of 5212 and 5216 = LCM of 5216 and 5212

Related Least Common Multiples of 5212

Related Least Common Multiples of 5216

Frequently Asked Questions on LCM of 5212 and 5216

1. What is the LCM of 5212 and 5216?

Answer: LCM of 5212 and 5216 is 6796448.

2. What are the Factors of 5212?

Answer: Factors of 5212 are 1, 2, 4, 1303, 2606, 5212. There are 6 integers that are factors of 5212. The greatest factor of 5212 is 5212.

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 5212 and 5216?

Answer:

Least Common Multiple of 5212 and 5216 = 6796448

Step 1: Find the prime factorization of 5212

5212 = 2 x 2 x 1303

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 = 6796448 = 2 x 2 x 2 x 2 x 2 x 163 x 1303

Step 4: Therefore, the least common multiple of 5212 and 5216 is 6796448.