Least Common Multiple of 5204 and 5211

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 5211 the smallest integer that is 27118044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5204 and 5211 is 27118044.

LCM(5204,5211) = 27118044

LCM of 5204 and 5211

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

LCM of:
and

Least Common Multiple of 5204 and 5211

LCM of 5204 and 5211 is 27118044

Least common multiple can be found by multiplying the highest exponent prime factors of 5204 and 5211. First we will calculate the prime factors of 5204 and 5211.

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 5211


3 5211
3 1737
3 579
193 193
1

Prime factors of 5211 are 3,193. Prime factorization of 5211 in exponential form is:

5211 = 33×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5204 and 5211.

LCM(5204,5211) = 22×33×1931×13011
LCM(5204,5211) = 27118044

Factors of 5204

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

1, 2, 4, 1301, 2602, 5204

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1, 3, 9, 27, 193, 579, 1737, 5211

Least Common Multiple of 5204 and 5211 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 5211, than apply into the LCM equation.

GCF(5204,5211) = 1
LCM(5204,5211) = ( 5204 × 5211) / 1
LCM(5204,5211) = 27118044 / 1
LCM(5204,5211) = 27118044

Properties of LCM 5204 and 5211

(i) The LCM of 5211 and 5204 is associative

LCM of 5204 and 5211 = LCM of 5211 and 5204

Related Least Common Multiples of 5204

Related Least Common Multiples of 5211

Frequently Asked Questions on LCM of 5204 and 5211

1. What is the LCM of 5204 and 5211?

Answer: LCM of 5204 and 5211 is 27118044.

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 5211?

Answer: Factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211. There are 8 integers that are factors of 5211. The greatest factor of 5211 is 5211.

4. How to Find the LCM of 5204 and 5211?

Answer:

Least Common Multiple of 5204 and 5211 = 27118044

Step 1: Find the prime factorization of 5204

5204 = 2 x 2 x 1301

Step 2: Find the prime factorization of 5211

5211 = 3 x 3 x 3 x 193

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

LCM = 27118044 = 2 x 2 x 3 x 3 x 3 x 193 x 1301

Step 4: Therefore, the least common multiple of 5204 and 5211 is 27118044.