Least Common Multiple of 5205 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 5205 and 5211 the smallest integer that is 9041085 that is divisible by both numbers.

Least Common Multiple (LCM) of 5205 and 5211 is 9041085.

LCM(5205,5211) = 9041085

LCM of 5205 and 5211

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

LCM of:
and

Least Common Multiple of 5205 and 5211

LCM of 5205 and 5211 is 9041085

Least common multiple can be found by multiplying the highest exponent prime factors of 5205 and 5211. First we will calculate the prime factors of 5205 and 5211.

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 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 5205 and 5211.

LCM(5205,5211) = 33×51×1931×3471
LCM(5205,5211) = 9041085

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 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 5205 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 5205 and 5211, than apply into the LCM equation.

GCF(5205,5211) = 3
LCM(5205,5211) = ( 5205 × 5211) / 3
LCM(5205,5211) = 27123255 / 3
LCM(5205,5211) = 9041085

Properties of LCM 5205 and 5211

(i) The LCM of 5211 and 5205 is associative

LCM of 5205 and 5211 = LCM of 5211 and 5205

Related Least Common Multiples of 5205

Related Least Common Multiples of 5211

Frequently Asked Questions on LCM of 5205 and 5211

1. What is the LCM of 5205 and 5211?

Answer: LCM of 5205 and 5211 is 9041085.

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 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 5205 and 5211?

Answer:

Least Common Multiple of 5205 and 5211 = 9041085

Step 1: Find the prime factorization of 5205

5205 = 3 x 5 x 347

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 = 9041085 = 3 x 3 x 3 x 5 x 193 x 347

Step 4: Therefore, the least common multiple of 5205 and 5211 is 9041085.