Least Common Multiple of 5205 and 5209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5205 and 5209 the smallest integer that is 27112845 that is divisible by both numbers.

Least Common Multiple (LCM) of 5205 and 5209 is 27112845.

LCM(5205,5209) = 27112845

LCM of 5205 and 5209

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

LCM of:
and

Least Common Multiple of 5205 and 5209

LCM of 5205 and 5209 is 27112845

Least common multiple can be found by multiplying the highest exponent prime factors of 5205 and 5209. First we will calculate the prime factors of 5205 and 5209.

Prime Factorization of 5205


3 5205
5 1735
347 347
1

Prime factors of 5205 are 3, 5,347. Prime factorization of 5205 in exponential form is:

5205 = 31×51×3471

Prime Factorization of 5209


5209 5209
1

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

5209 = 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 5205 and 5209.

LCM(5205,5209) = 31×51×3471×52091
LCM(5205,5209) = 27112845

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1, 3, 5, 15, 347, 1041, 1735, 5205

Factors of 5209

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

1, 5209

Least Common Multiple of 5205 and 5209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5205 and 5209, than apply into the LCM equation.

GCF(5205,5209) = 1
LCM(5205,5209) = ( 5205 × 5209) / 1
LCM(5205,5209) = 27112845 / 1
LCM(5205,5209) = 27112845

Properties of LCM 5205 and 5209

(i) The LCM of 5209 and 5205 is associative

LCM of 5205 and 5209 = LCM of 5209 and 5205

Related Least Common Multiples of 5205

Related Least Common Multiples of 5209

Frequently Asked Questions on LCM of 5205 and 5209

1. What is the LCM of 5205 and 5209?

Answer: LCM of 5205 and 5209 is 27112845.

2. What are the Factors of 5205?

Answer: Factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205. There are 8 integers that are factors of 5205. The greatest factor of 5205 is 5205.

3. 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.

4. How to Find the LCM of 5205 and 5209?

Answer:

Least Common Multiple of 5205 and 5209 = 27112845

Step 1: Find the prime factorization of 5205

5205 = 3 x 5 x 347

Step 2: Find the prime factorization of 5209

5209 = 5209

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

LCM = 27112845 = 3 x 5 x 347 x 5209

Step 4: Therefore, the least common multiple of 5205 and 5209 is 27112845.