Least Common Multiple of 5210 and 5214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5210 and 5214 the smallest integer that is 13582470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5210 and 5214 is 13582470.

LCM(5210,5214) = 13582470

LCM of 5210 and 5214

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

LCM of:
and

Least Common Multiple of 5210 and 5214

LCM of 5210 and 5214 is 13582470

Least common multiple can be found by multiplying the highest exponent prime factors of 5210 and 5214. First we will calculate the prime factors of 5210 and 5214.

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

Prime Factorization of 5214


2 5214
3 2607
11 869
79 79
1

Prime factors of 5214 are 2, 3, 11,79. Prime factorization of 5214 in exponential form is:

5214 = 21×31×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5210 and 5214.

LCM(5210,5214) = 21×31×51×111×791×5211
LCM(5210,5214) = 13582470

Factors of 5210

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

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

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214

Least Common Multiple of 5210 and 5214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5210 and 5214, than apply into the LCM equation.

GCF(5210,5214) = 2
LCM(5210,5214) = ( 5210 × 5214) / 2
LCM(5210,5214) = 27164940 / 2
LCM(5210,5214) = 13582470

Properties of LCM 5210 and 5214

(i) The LCM of 5214 and 5210 is associative

LCM of 5210 and 5214 = LCM of 5214 and 5210

Related Least Common Multiples of 5210

Related Least Common Multiples of 5214

Frequently Asked Questions on LCM of 5210 and 5214

1. What is the LCM of 5210 and 5214?

Answer: LCM of 5210 and 5214 is 13582470.

2. 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.

3. What are the Factors of 5214?

Answer: Factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214. There are 16 integers that are factors of 5214. The greatest factor of 5214 is 5214.

4. How to Find the LCM of 5210 and 5214?

Answer:

Least Common Multiple of 5210 and 5214 = 13582470

Step 1: Find the prime factorization of 5210

5210 = 2 x 5 x 521

Step 2: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

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

LCM = 13582470 = 2 x 3 x 5 x 11 x 79 x 521

Step 4: Therefore, the least common multiple of 5210 and 5214 is 13582470.