Least Common Multiple of 5202 and 5206

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 5206 the smallest integer that is 13540806 that is divisible by both numbers.

Least Common Multiple (LCM) of 5202 and 5206 is 13540806.

LCM(5202,5206) = 13540806

LCM of 5202 and 5206

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

LCM of:
and

Least Common Multiple of 5202 and 5206

LCM of 5202 and 5206 is 13540806

Least common multiple can be found by multiplying the highest exponent prime factors of 5202 and 5206. First we will calculate the prime factors of 5202 and 5206.

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 5206


2 5206
19 2603
137 137
1

Prime factors of 5206 are 2, 19,137. Prime factorization of 5206 in exponential form is:

5206 = 21×191×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5202 and 5206.

LCM(5202,5206) = 21×32×172×191×1371
LCM(5202,5206) = 13540806

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 5206

List of positive integer factors of 5206 that divides 5206 without a remainder.

1, 2, 19, 38, 137, 274, 2603, 5206

Least Common Multiple of 5202 and 5206 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 5206, than apply into the LCM equation.

GCF(5202,5206) = 2
LCM(5202,5206) = ( 5202 × 5206) / 2
LCM(5202,5206) = 27081612 / 2
LCM(5202,5206) = 13540806

Properties of LCM 5202 and 5206

(i) The LCM of 5206 and 5202 is associative

LCM of 5202 and 5206 = LCM of 5206 and 5202

Related Least Common Multiples of 5202

Related Least Common Multiples of 5206

Frequently Asked Questions on LCM of 5202 and 5206

1. What is the LCM of 5202 and 5206?

Answer: LCM of 5202 and 5206 is 13540806.

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 5206?

Answer: Factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206. There are 8 integers that are factors of 5206. The greatest factor of 5206 is 5206.

4. How to Find the LCM of 5202 and 5206?

Answer:

Least Common Multiple of 5202 and 5206 = 13540806

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 5206

5206 = 2 x 19 x 137

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

LCM = 13540806 = 2 x 3 x 3 x 17 x 17 x 19 x 137

Step 4: Therefore, the least common multiple of 5202 and 5206 is 13540806.