Least Common Multiple of 5202 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 5202 and 5210 the smallest integer that is 13551210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5202 and 5210 is 13551210.

LCM(5202,5210) = 13551210

LCM of 5202 and 5210

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

LCM of:
and

Least Common Multiple of 5202 and 5210

LCM of 5202 and 5210 is 13551210

Least common multiple can be found by multiplying the highest exponent prime factors of 5202 and 5210. First we will calculate the prime factors of 5202 and 5210.

Prime Factorization of 5202


2 5202
3 2601
3 867
17 289
17 17
1

Prime factors of 5202 are 2, 3,17. Prime factorization of 5202 in exponential form is:

5202 = 21×32×172

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 5202 and 5210.

LCM(5202,5210) = 21×32×51×172×5211
LCM(5202,5210) = 13551210

Factors of 5202

List of positive integer factors of 5202 that divides 5202 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

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 5202 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 5202 and 5210, than apply into the LCM equation.

GCF(5202,5210) = 2
LCM(5202,5210) = ( 5202 × 5210) / 2
LCM(5202,5210) = 27102420 / 2
LCM(5202,5210) = 13551210

Properties of LCM 5202 and 5210

(i) The LCM of 5210 and 5202 is associative

LCM of 5202 and 5210 = LCM of 5210 and 5202

Related Least Common Multiples of 5202

Related Least Common Multiples of 5210

Frequently Asked Questions on LCM of 5202 and 5210

1. What is the LCM of 5202 and 5210?

Answer: LCM of 5202 and 5210 is 13551210.

2. What are the Factors of 5202?

Answer: Factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202. There are 18 integers that are factors of 5202. The greatest factor of 5202 is 5202.

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 5202 and 5210?

Answer:

Least Common Multiple of 5202 and 5210 = 13551210

Step 1: Find the prime factorization of 5202

5202 = 2 x 3 x 3 x 17 x 17

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 = 13551210 = 2 x 3 x 3 x 5 x 17 x 17 x 521

Step 4: Therefore, the least common multiple of 5202 and 5210 is 13551210.