Least Common Multiple of 5207 and 5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5207 and 5213 the smallest integer that is 27144091 that is divisible by both numbers.

Least Common Multiple (LCM) of 5207 and 5213 is 27144091.

LCM(5207,5213) = 27144091

LCM of 5207 and 5213

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

LCM of:
and

Least Common Multiple of 5207 and 5213

LCM of 5207 and 5213 is 27144091

Least common multiple can be found by multiplying the highest exponent prime factors of 5207 and 5213. First we will calculate the prime factors of 5207 and 5213.

Prime Factorization of 5207


41 5207
127 127
1

Prime factors of 5207 are 41,127. Prime factorization of 5207 in exponential form is:

5207 = 411×1271

Prime Factorization of 5213


13 5213
401 401
1

Prime factors of 5213 are 13,401. Prime factorization of 5213 in exponential form is:

5213 = 131×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 5207 and 5213.

LCM(5207,5213) = 131×411×1271×4011
LCM(5207,5213) = 27144091

Factors of 5207

List of positive integer factors of 5207 that divides 5207 without a remainder.

1, 41, 127, 5207

Factors of 5213

List of positive integer factors of 5213 that divides 5213 without a remainder.

1, 13, 401, 5213

Least Common Multiple of 5207 and 5213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5207 and 5213, than apply into the LCM equation.

GCF(5207,5213) = 1
LCM(5207,5213) = ( 5207 × 5213) / 1
LCM(5207,5213) = 27144091 / 1
LCM(5207,5213) = 27144091

Properties of LCM 5207 and 5213

(i) The LCM of 5213 and 5207 is associative

LCM of 5207 and 5213 = LCM of 5213 and 5207

Related Least Common Multiples of 5207

Related Least Common Multiples of 5213

Frequently Asked Questions on LCM of 5207 and 5213

1. What is the LCM of 5207 and 5213?

Answer: LCM of 5207 and 5213 is 27144091.

2. What are the Factors of 5207?

Answer: Factors of 5207 are 1, 41, 127, 5207. There are 4 integers that are factors of 5207. The greatest factor of 5207 is 5207.

3. What are the Factors of 5213?

Answer: Factors of 5213 are 1, 13, 401, 5213. There are 4 integers that are factors of 5213. The greatest factor of 5213 is 5213.

4. How to Find the LCM of 5207 and 5213?

Answer:

Least Common Multiple of 5207 and 5213 = 27144091

Step 1: Find the prime factorization of 5207

5207 = 41 x 127

Step 2: Find the prime factorization of 5213

5213 = 13 x 401

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

LCM = 27144091 = 13 x 41 x 127 x 401

Step 4: Therefore, the least common multiple of 5207 and 5213 is 27144091.