Least Common Multiple of 5251 and 5255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5251 and 5255 the smallest integer that is 27594005 that is divisible by both numbers.

Least Common Multiple (LCM) of 5251 and 5255 is 27594005.

LCM(5251,5255) = 27594005

LCM of 5251 and 5255

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

LCM of:
and

Least Common Multiple of 5251 and 5255

LCM of 5251 and 5255 is 27594005

Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5255. First we will calculate the prime factors of 5251 and 5255.

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

Prime Factorization of 5255


5 5255
1051 1051
1

Prime factors of 5255 are 5,1051. Prime factorization of 5255 in exponential form is:

5255 = 51×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5255.

LCM(5251,5255) = 51×591×891×10511
LCM(5251,5255) = 27594005

Factors of 5251

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

1, 59, 89, 5251

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1, 5, 1051, 5255

Least Common Multiple of 5251 and 5255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5251 and 5255, than apply into the LCM equation.

GCF(5251,5255) = 1
LCM(5251,5255) = ( 5251 × 5255) / 1
LCM(5251,5255) = 27594005 / 1
LCM(5251,5255) = 27594005

Properties of LCM 5251 and 5255

(i) The LCM of 5255 and 5251 is associative

LCM of 5251 and 5255 = LCM of 5255 and 5251

Related Least Common Multiples of 5251

Related Least Common Multiples of 5255

Frequently Asked Questions on LCM of 5251 and 5255

1. What is the LCM of 5251 and 5255?

Answer: LCM of 5251 and 5255 is 27594005.

2. 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.

3. What are the Factors of 5255?

Answer: Factors of 5255 are 1, 5, 1051, 5255. There are 4 integers that are factors of 5255. The greatest factor of 5255 is 5255.

4. How to Find the LCM of 5251 and 5255?

Answer:

Least Common Multiple of 5251 and 5255 = 27594005

Step 1: Find the prime factorization of 5251

5251 = 59 x 89

Step 2: Find the prime factorization of 5255

5255 = 5 x 1051

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

LCM = 27594005 = 5 x 59 x 89 x 1051

Step 4: Therefore, the least common multiple of 5251 and 5255 is 27594005.