Least Common Multiple of 5205 and 5210

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 5210 the smallest integer that is 5423610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5205 and 5210 is 5423610.

LCM(5205,5210) = 5423610

LCM of 5205 and 5210

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

LCM of:
and

Least Common Multiple of 5205 and 5210

LCM of 5205 and 5210 is 5423610

Least common multiple can be found by multiplying the highest exponent prime factors of 5205 and 5210. First we will calculate the prime factors of 5205 and 5210.

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 5210


2 5210
5 2605
521 521
1

Prime factors of 5210 are 2, 5,521. Prime factorization of 5210 in exponential form is:

5210 = 21×51×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 5205 and 5210.

LCM(5205,5210) = 21×31×51×3471×5211
LCM(5205,5210) = 5423610

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 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1, 2, 5, 10, 521, 1042, 2605, 5210

Least Common Multiple of 5205 and 5210 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 5210, than apply into the LCM equation.

GCF(5205,5210) = 5
LCM(5205,5210) = ( 5205 × 5210) / 5
LCM(5205,5210) = 27118050 / 5
LCM(5205,5210) = 5423610

Properties of LCM 5205 and 5210

(i) The LCM of 5210 and 5205 is associative

LCM of 5205 and 5210 = LCM of 5210 and 5205

Related Least Common Multiples of 5205

Related Least Common Multiples of 5210

Frequently Asked Questions on LCM of 5205 and 5210

1. What is the LCM of 5205 and 5210?

Answer: LCM of 5205 and 5210 is 5423610.

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 5210?

Answer: Factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210. There are 8 integers that are factors of 5210. The greatest factor of 5210 is 5210.

4. How to Find the LCM of 5205 and 5210?

Answer:

Least Common Multiple of 5205 and 5210 = 5423610

Step 1: Find the prime factorization of 5205

5205 = 3 x 5 x 347

Step 2: Find the prime factorization of 5210

5210 = 2 x 5 x 521

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

LCM = 5423610 = 2 x 3 x 5 x 347 x 521

Step 4: Therefore, the least common multiple of 5205 and 5210 is 5423610.