Least Common Multiple of 5197 and 5202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5197 and 5202 the smallest integer that is 27034794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5197 and 5202 is 27034794.

LCM(5197,5202) = 27034794

LCM of 5197 and 5202

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

LCM of:
and

Least Common Multiple of 5197 and 5202

LCM of 5197 and 5202 is 27034794

Least common multiple can be found by multiplying the highest exponent prime factors of 5197 and 5202. First we will calculate the prime factors of 5197 and 5202.

Prime Factorization of 5197


5197 5197
1

Prime factors of 5197 are 5197. Prime factorization of 5197 in exponential form is:

5197 = 51971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5197 and 5202.

LCM(5197,5202) = 21×32×172×51971
LCM(5197,5202) = 27034794

Factors of 5197

List of positive integer factors of 5197 that divides 5197 without a remainder.

1, 5197

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

Least Common Multiple of 5197 and 5202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5197 and 5202, than apply into the LCM equation.

GCF(5197,5202) = 1
LCM(5197,5202) = ( 5197 × 5202) / 1
LCM(5197,5202) = 27034794 / 1
LCM(5197,5202) = 27034794

Properties of LCM 5197 and 5202

(i) The LCM of 5202 and 5197 is associative

LCM of 5197 and 5202 = LCM of 5202 and 5197

Related Least Common Multiples of 5197

Related Least Common Multiples of 5202

Frequently Asked Questions on LCM of 5197 and 5202

1. What is the LCM of 5197 and 5202?

Answer: LCM of 5197 and 5202 is 27034794.

2. What are the Factors of 5197?

Answer: Factors of 5197 are 1, 5197. There are 2 integers that are factors of 5197. The greatest factor of 5197 is 5197.

3. 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.

4. How to Find the LCM of 5197 and 5202?

Answer:

Least Common Multiple of 5197 and 5202 = 27034794

Step 1: Find the prime factorization of 5197

5197 = 5197

Step 2: Find the prime factorization of 5202

5202 = 2 x 3 x 3 x 17 x 17

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

LCM = 27034794 = 2 x 3 x 3 x 17 x 17 x 5197

Step 4: Therefore, the least common multiple of 5197 and 5202 is 27034794.