Least Common Multiple of 5202 and 5209

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 5209 the smallest integer that is 27097218 that is divisible by both numbers.

Least Common Multiple (LCM) of 5202 and 5209 is 27097218.

LCM(5202,5209) = 27097218

LCM of 5202 and 5209

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

LCM of:
and

Least Common Multiple of 5202 and 5209

LCM of 5202 and 5209 is 27097218

Least common multiple can be found by multiplying the highest exponent prime factors of 5202 and 5209. First we will calculate the prime factors of 5202 and 5209.

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 5209


5209 5209
1

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 5202 and 5209.

LCM(5202,5209) = 21×32×172×52091
LCM(5202,5209) = 27097218

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 5209

List of positive integer factors of 5209 that divides 5209 without a remainder.

1, 5209

Least Common Multiple of 5202 and 5209 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 5209, than apply into the LCM equation.

GCF(5202,5209) = 1
LCM(5202,5209) = ( 5202 × 5209) / 1
LCM(5202,5209) = 27097218 / 1
LCM(5202,5209) = 27097218

Properties of LCM 5202 and 5209

(i) The LCM of 5209 and 5202 is associative

LCM of 5202 and 5209 = LCM of 5209 and 5202

Related Least Common Multiples of 5202

Related Least Common Multiples of 5209

Frequently Asked Questions on LCM of 5202 and 5209

1. What is the LCM of 5202 and 5209?

Answer: LCM of 5202 and 5209 is 27097218.

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 5209?

Answer: Factors of 5209 are 1, 5209. There are 2 integers that are factors of 5209. The greatest factor of 5209 is 5209.

4. How to Find the LCM of 5202 and 5209?

Answer:

Least Common Multiple of 5202 and 5209 = 27097218

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 5209

5209 = 5209

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

LCM = 27097218 = 2 x 3 x 3 x 17 x 17 x 5209

Step 4: Therefore, the least common multiple of 5202 and 5209 is 27097218.