Least Common Multiple of 5251 and 5259

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 5259 the smallest integer that is 27615009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5251 and 5259 is 27615009.

LCM(5251,5259) = 27615009

LCM of 5251 and 5259

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

LCM of:
and

Least Common Multiple of 5251 and 5259

LCM of 5251 and 5259 is 27615009

Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5259. First we will calculate the prime factors of 5251 and 5259.

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 5259


3 5259
1753 1753
1

Prime factors of 5259 are 3,1753. Prime factorization of 5259 in exponential form is:

5259 = 31×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5259.

LCM(5251,5259) = 31×591×891×17531
LCM(5251,5259) = 27615009

Factors of 5251

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

1, 59, 89, 5251

Factors of 5259

List of positive integer factors of 5259 that divides 5259 without a remainder.

1, 3, 1753, 5259

Least Common Multiple of 5251 and 5259 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 5259, than apply into the LCM equation.

GCF(5251,5259) = 1
LCM(5251,5259) = ( 5251 × 5259) / 1
LCM(5251,5259) = 27615009 / 1
LCM(5251,5259) = 27615009

Properties of LCM 5251 and 5259

(i) The LCM of 5259 and 5251 is associative

LCM of 5251 and 5259 = LCM of 5259 and 5251

Related Least Common Multiples of 5251

Related Least Common Multiples of 5259

Frequently Asked Questions on LCM of 5251 and 5259

1. What is the LCM of 5251 and 5259?

Answer: LCM of 5251 and 5259 is 27615009.

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 5259?

Answer: Factors of 5259 are 1, 3, 1753, 5259. There are 4 integers that are factors of 5259. The greatest factor of 5259 is 5259.

4. How to Find the LCM of 5251 and 5259?

Answer:

Least Common Multiple of 5251 and 5259 = 27615009

Step 1: Find the prime factorization of 5251

5251 = 59 x 89

Step 2: Find the prime factorization of 5259

5259 = 3 x 1753

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

LCM = 27615009 = 3 x 59 x 89 x 1753

Step 4: Therefore, the least common multiple of 5251 and 5259 is 27615009.