Least Common Multiple of 5201 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 5201 and 5202 the smallest integer that is 27055602 that is divisible by both numbers.

Least Common Multiple (LCM) of 5201 and 5202 is 27055602.

LCM(5201,5202) = 27055602

LCM of 5201 and 5202

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

LCM of:
and

Least Common Multiple of 5201 and 5202

LCM of 5201 and 5202 is 27055602

Least common multiple can be found by multiplying the highest exponent prime factors of 5201 and 5202. First we will calculate the prime factors of 5201 and 5202.

Prime Factorization of 5201


7 5201
743 743
1

Prime factors of 5201 are 7,743. Prime factorization of 5201 in exponential form is:

5201 = 71×7431

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 5201 and 5202.

LCM(5201,5202) = 21×32×71×172×7431
LCM(5201,5202) = 27055602

Factors of 5201

List of positive integer factors of 5201 that divides 5201 without a remainder.

1, 7, 743, 5201

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 5201 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 5201 and 5202, than apply into the LCM equation.

GCF(5201,5202) = 1
LCM(5201,5202) = ( 5201 × 5202) / 1
LCM(5201,5202) = 27055602 / 1
LCM(5201,5202) = 27055602

Properties of LCM 5201 and 5202

(i) The LCM of 5202 and 5201 is associative

LCM of 5201 and 5202 = LCM of 5202 and 5201

Related Least Common Multiples of 5201

Related Least Common Multiples of 5202

Frequently Asked Questions on LCM of 5201 and 5202

1. What is the LCM of 5201 and 5202?

Answer: LCM of 5201 and 5202 is 27055602.

2. What are the Factors of 5201?

Answer: Factors of 5201 are 1, 7, 743, 5201. There are 4 integers that are factors of 5201. The greatest factor of 5201 is 5201.

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 5201 and 5202?

Answer:

Least Common Multiple of 5201 and 5202 = 27055602

Step 1: Find the prime factorization of 5201

5201 = 7 x 743

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 = 27055602 = 2 x 3 x 3 x 7 x 17 x 17 x 743

Step 4: Therefore, the least common multiple of 5201 and 5202 is 27055602.