Least Common Multiple of 5204 and 5212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5204 and 5212 the smallest integer that is 6780812 that is divisible by both numbers.

Least Common Multiple (LCM) of 5204 and 5212 is 6780812.

LCM(5204,5212) = 6780812

LCM of 5204 and 5212

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

LCM of:
and

Least Common Multiple of 5204 and 5212

LCM of 5204 and 5212 is 6780812

Least common multiple can be found by multiplying the highest exponent prime factors of 5204 and 5212. First we will calculate the prime factors of 5204 and 5212.

Prime Factorization of 5204


2 5204
2 2602
1301 1301
1

Prime factors of 5204 are 2,1301. Prime factorization of 5204 in exponential form is:

5204 = 22×13011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5204 and 5212.

LCM(5204,5212) = 22×13011×13031
LCM(5204,5212) = 6780812

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1, 2, 4, 1301, 2602, 5204

Factors of 5212

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

1, 2, 4, 1303, 2606, 5212

Least Common Multiple of 5204 and 5212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5204 and 5212, than apply into the LCM equation.

GCF(5204,5212) = 4
LCM(5204,5212) = ( 5204 × 5212) / 4
LCM(5204,5212) = 27123248 / 4
LCM(5204,5212) = 6780812

Properties of LCM 5204 and 5212

(i) The LCM of 5212 and 5204 is associative

LCM of 5204 and 5212 = LCM of 5212 and 5204

Related Least Common Multiples of 5204

Related Least Common Multiples of 5212

Frequently Asked Questions on LCM of 5204 and 5212

1. What is the LCM of 5204 and 5212?

Answer: LCM of 5204 and 5212 is 6780812.

2. What are the Factors of 5204?

Answer: Factors of 5204 are 1, 2, 4, 1301, 2602, 5204. There are 6 integers that are factors of 5204. The greatest factor of 5204 is 5204.

3. 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.

4. How to Find the LCM of 5204 and 5212?

Answer:

Least Common Multiple of 5204 and 5212 = 6780812

Step 1: Find the prime factorization of 5204

5204 = 2 x 2 x 1301

Step 2: Find the prime factorization of 5212

5212 = 2 x 2 x 1303

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

LCM = 6780812 = 2 x 2 x 1301 x 1303

Step 4: Therefore, the least common multiple of 5204 and 5212 is 6780812.