Least Common Multiple of 5247 and 5251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5247 and 5251 the smallest integer that is 27551997 that is divisible by both numbers.

Least Common Multiple (LCM) of 5247 and 5251 is 27551997.

LCM(5247,5251) = 27551997

LCM of 5247 and 5251

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

LCM of:
and

Least Common Multiple of 5247 and 5251

LCM of 5247 and 5251 is 27551997

Least common multiple can be found by multiplying the highest exponent prime factors of 5247 and 5251. First we will calculate the prime factors of 5247 and 5251.

Prime Factorization of 5247


3 5247
3 1749
11 583
53 53
1

Prime factors of 5247 are 3, 11,53. Prime factorization of 5247 in exponential form is:

5247 = 32×111×531

Prime Factorization of 5251


59 5251
89 89
1

Prime factors of 5251 are 59,89. Prime factorization of 5251 in exponential form is:

5251 = 591×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5247 and 5251.

LCM(5247,5251) = 32×111×531×591×891
LCM(5247,5251) = 27551997

Factors of 5247

List of positive integer factors of 5247 that divides 5247 without a remainder.

1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247

Factors of 5251

List of positive integer factors of 5251 that divides 5251 without a remainder.

1, 59, 89, 5251

Least Common Multiple of 5247 and 5251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5247 and 5251, than apply into the LCM equation.

GCF(5247,5251) = 1
LCM(5247,5251) = ( 5247 × 5251) / 1
LCM(5247,5251) = 27551997 / 1
LCM(5247,5251) = 27551997

Properties of LCM 5247 and 5251

(i) The LCM of 5251 and 5247 is associative

LCM of 5247 and 5251 = LCM of 5251 and 5247

Frequently Asked Questions on LCM of 5247 and 5251

1. What is the LCM of 5247 and 5251?

Answer: LCM of 5247 and 5251 is 27551997.

2. What are the Factors of 5247?

Answer: Factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247. There are 12 integers that are factors of 5247. The greatest factor of 5247 is 5247.

3. What are the Factors of 5251?

Answer: Factors of 5251 are 1, 59, 89, 5251. There are 4 integers that are factors of 5251. The greatest factor of 5251 is 5251.

4. How to Find the LCM of 5247 and 5251?

Answer:

Least Common Multiple of 5247 and 5251 = 27551997

Step 1: Find the prime factorization of 5247

5247 = 3 x 3 x 11 x 53

Step 2: Find the prime factorization of 5251

5251 = 59 x 89

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

LCM = 27551997 = 3 x 3 x 11 x 53 x 59 x 89

Step 4: Therefore, the least common multiple of 5247 and 5251 is 27551997.