Least Common Multiple of 5212 and 5219

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 5219 the smallest integer that is 27201428 that is divisible by both numbers.

Least Common Multiple (LCM) of 5212 and 5219 is 27201428.

LCM(5212,5219) = 27201428

LCM of 5212 and 5219

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

LCM of:
and

Least Common Multiple of 5212 and 5219

LCM of 5212 and 5219 is 27201428

Least common multiple can be found by multiplying the highest exponent prime factors of 5212 and 5219. First we will calculate the prime factors of 5212 and 5219.

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 5219


17 5219
307 307
1

Prime factors of 5219 are 17,307. Prime factorization of 5219 in exponential form is:

5219 = 171×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5212 and 5219.

LCM(5212,5219) = 22×171×3071×13031
LCM(5212,5219) = 27201428

Factors of 5212

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

1, 2, 4, 1303, 2606, 5212

Factors of 5219

List of positive integer factors of 5219 that divides 5219 without a remainder.

1, 17, 307, 5219

Least Common Multiple of 5212 and 5219 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 5219, than apply into the LCM equation.

GCF(5212,5219) = 1
LCM(5212,5219) = ( 5212 × 5219) / 1
LCM(5212,5219) = 27201428 / 1
LCM(5212,5219) = 27201428

Properties of LCM 5212 and 5219

(i) The LCM of 5219 and 5212 is associative

LCM of 5212 and 5219 = LCM of 5219 and 5212

Related Least Common Multiples of 5212

Related Least Common Multiples of 5219

Frequently Asked Questions on LCM of 5212 and 5219

1. What is the LCM of 5212 and 5219?

Answer: LCM of 5212 and 5219 is 27201428.

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 5219?

Answer: Factors of 5219 are 1, 17, 307, 5219. There are 4 integers that are factors of 5219. The greatest factor of 5219 is 5219.

4. How to Find the LCM of 5212 and 5219?

Answer:

Least Common Multiple of 5212 and 5219 = 27201428

Step 1: Find the prime factorization of 5212

5212 = 2 x 2 x 1303

Step 2: Find the prime factorization of 5219

5219 = 17 x 307

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

LCM = 27201428 = 2 x 2 x 17 x 307 x 1303

Step 4: Therefore, the least common multiple of 5212 and 5219 is 27201428.