Least Common Multiple of 5212 and 5217

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 5217 the smallest integer that is 27191004 that is divisible by both numbers.

Least Common Multiple (LCM) of 5212 and 5217 is 27191004.

LCM(5212,5217) = 27191004

LCM of 5212 and 5217

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

LCM of:
and

Least Common Multiple of 5212 and 5217

LCM of 5212 and 5217 is 27191004

Least common multiple can be found by multiplying the highest exponent prime factors of 5212 and 5217. First we will calculate the prime factors of 5212 and 5217.

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 5217


3 5217
37 1739
47 47
1

Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:

5217 = 31×371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5212 and 5217.

LCM(5212,5217) = 22×31×371×471×13031
LCM(5212,5217) = 27191004

Factors of 5212

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

1, 2, 4, 1303, 2606, 5212

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1, 3, 37, 47, 111, 141, 1739, 5217

Least Common Multiple of 5212 and 5217 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 5217, than apply into the LCM equation.

GCF(5212,5217) = 1
LCM(5212,5217) = ( 5212 × 5217) / 1
LCM(5212,5217) = 27191004 / 1
LCM(5212,5217) = 27191004

Properties of LCM 5212 and 5217

(i) The LCM of 5217 and 5212 is associative

LCM of 5212 and 5217 = LCM of 5217 and 5212

Related Least Common Multiples of 5212

Related Least Common Multiples of 5217

Frequently Asked Questions on LCM of 5212 and 5217

1. What is the LCM of 5212 and 5217?

Answer: LCM of 5212 and 5217 is 27191004.

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 5217?

Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.

4. How to Find the LCM of 5212 and 5217?

Answer:

Least Common Multiple of 5212 and 5217 = 27191004

Step 1: Find the prime factorization of 5212

5212 = 2 x 2 x 1303

Step 2: Find the prime factorization of 5217

5217 = 3 x 37 x 47

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

LCM = 27191004 = 2 x 2 x 3 x 37 x 47 x 1303

Step 4: Therefore, the least common multiple of 5212 and 5217 is 27191004.