Least Common Multiple of 5196 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 5196 and 5202 the smallest integer that is 4504932 that is divisible by both numbers.

Least Common Multiple (LCM) of 5196 and 5202 is 4504932.

LCM(5196,5202) = 4504932

LCM of 5196 and 5202

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

LCM of:
and

Least Common Multiple of 5196 and 5202

LCM of 5196 and 5202 is 4504932

Least common multiple can be found by multiplying the highest exponent prime factors of 5196 and 5202. First we will calculate the prime factors of 5196 and 5202.

Prime Factorization of 5196


2 5196
2 2598
3 1299
433 433
1

Prime factors of 5196 are 2, 3,433. Prime factorization of 5196 in exponential form is:

5196 = 22×31×4331

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 5196 and 5202.

LCM(5196,5202) = 22×32×172×4331
LCM(5196,5202) = 4504932

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196

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 5196 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 5196 and 5202, than apply into the LCM equation.

GCF(5196,5202) = 6
LCM(5196,5202) = ( 5196 × 5202) / 6
LCM(5196,5202) = 27029592 / 6
LCM(5196,5202) = 4504932

Properties of LCM 5196 and 5202

(i) The LCM of 5202 and 5196 is associative

LCM of 5196 and 5202 = LCM of 5202 and 5196

Related Least Common Multiples of 5196

Related Least Common Multiples of 5202

Frequently Asked Questions on LCM of 5196 and 5202

1. What is the LCM of 5196 and 5202?

Answer: LCM of 5196 and 5202 is 4504932.

2. What are the Factors of 5196?

Answer: Factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196. There are 12 integers that are factors of 5196. The greatest factor of 5196 is 5196.

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 5196 and 5202?

Answer:

Least Common Multiple of 5196 and 5202 = 4504932

Step 1: Find the prime factorization of 5196

5196 = 2 x 2 x 3 x 433

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 = 4504932 = 2 x 2 x 3 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 5196 and 5202 is 4504932.