Least Common Multiple of 5209 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 5209 and 5211 the smallest integer that is 27144099 that is divisible by both numbers.

Least Common Multiple (LCM) of 5209 and 5211 is 27144099.

LCM(5209,5211) = 27144099

LCM of 5209 and 5211

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

LCM of:
and

Least Common Multiple of 5209 and 5211

LCM of 5209 and 5211 is 27144099

Least common multiple can be found by multiplying the highest exponent prime factors of 5209 and 5211. First we will calculate the prime factors of 5209 and 5211.

Prime Factorization of 5209


5209 5209
1

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 52091

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 5209 and 5211.

LCM(5209,5211) = 33×1931×52091
LCM(5209,5211) = 27144099

Factors of 5209

List of positive integer factors of 5209 that divides 5209 without a remainder.

1, 5209

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 5209 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 5209 and 5211, than apply into the LCM equation.

GCF(5209,5211) = 1
LCM(5209,5211) = ( 5209 × 5211) / 1
LCM(5209,5211) = 27144099 / 1
LCM(5209,5211) = 27144099

Properties of LCM 5209 and 5211

(i) The LCM of 5211 and 5209 is associative

LCM of 5209 and 5211 = LCM of 5211 and 5209

Related Least Common Multiples of 5209

Related Least Common Multiples of 5211

Frequently Asked Questions on LCM of 5209 and 5211

1. What is the LCM of 5209 and 5211?

Answer: LCM of 5209 and 5211 is 27144099.

2. What are the Factors of 5209?

Answer: Factors of 5209 are 1, 5209. There are 2 integers that are factors of 5209. The greatest factor of 5209 is 5209.

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 5209 and 5211?

Answer:

Least Common Multiple of 5209 and 5211 = 27144099

Step 1: Find the prime factorization of 5209

5209 = 5209

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 = 27144099 = 3 x 3 x 3 x 193 x 5209

Step 4: Therefore, the least common multiple of 5209 and 5211 is 27144099.