Least Common Multiple of 5202 and 5208

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 5208 the smallest integer that is 4515336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5202 and 5208 is 4515336.

LCM(5202,5208) = 4515336

LCM of 5202 and 5208

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

LCM of:
and

Least Common Multiple of 5202 and 5208

LCM of 5202 and 5208 is 4515336

Least common multiple can be found by multiplying the highest exponent prime factors of 5202 and 5208. First we will calculate the prime factors of 5202 and 5208.

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 5208


2 5208
2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 5208 are 2, 3, 7,31. Prime factorization of 5208 in exponential form is:

5208 = 23×31×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5202 and 5208.

LCM(5202,5208) = 23×32×71×172×311
LCM(5202,5208) = 4515336

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 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208

Least Common Multiple of 5202 and 5208 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 5208, than apply into the LCM equation.

GCF(5202,5208) = 6
LCM(5202,5208) = ( 5202 × 5208) / 6
LCM(5202,5208) = 27092016 / 6
LCM(5202,5208) = 4515336

Properties of LCM 5202 and 5208

(i) The LCM of 5208 and 5202 is associative

LCM of 5202 and 5208 = LCM of 5208 and 5202

Related Least Common Multiples of 5202

Related Least Common Multiples of 5208

Frequently Asked Questions on LCM of 5202 and 5208

1. What is the LCM of 5202 and 5208?

Answer: LCM of 5202 and 5208 is 4515336.

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 5208?

Answer: Factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208. There are 32 integers that are factors of 5208. The greatest factor of 5208 is 5208.

4. How to Find the LCM of 5202 and 5208?

Answer:

Least Common Multiple of 5202 and 5208 = 4515336

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 5208

5208 = 2 x 2 x 2 x 3 x 7 x 31

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

LCM = 4515336 = 2 x 2 x 2 x 3 x 3 x 7 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 5202 and 5208 is 4515336.