Least Common Multiple of 5251 and 5256

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 5256 the smallest integer that is 27599256 that is divisible by both numbers.

Least Common Multiple (LCM) of 5251 and 5256 is 27599256.

LCM(5251,5256) = 27599256

LCM of 5251 and 5256

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

LCM of:
and

Least Common Multiple of 5251 and 5256

LCM of 5251 and 5256 is 27599256

Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5256. First we will calculate the prime factors of 5251 and 5256.

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 5256


2 5256
2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 5256 are 2, 3,73. Prime factorization of 5256 in exponential form is:

5256 = 23×32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5256.

LCM(5251,5256) = 23×32×591×731×891
LCM(5251,5256) = 27599256

Factors of 5251

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

1, 59, 89, 5251

Factors of 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256

Least Common Multiple of 5251 and 5256 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 5256, than apply into the LCM equation.

GCF(5251,5256) = 1
LCM(5251,5256) = ( 5251 × 5256) / 1
LCM(5251,5256) = 27599256 / 1
LCM(5251,5256) = 27599256

Properties of LCM 5251 and 5256

(i) The LCM of 5256 and 5251 is associative

LCM of 5251 and 5256 = LCM of 5256 and 5251

Related Least Common Multiples of 5251

Related Least Common Multiples of 5256

Frequently Asked Questions on LCM of 5251 and 5256

1. What is the LCM of 5251 and 5256?

Answer: LCM of 5251 and 5256 is 27599256.

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 5256?

Answer: Factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256. There are 24 integers that are factors of 5256. The greatest factor of 5256 is 5256.

4. How to Find the LCM of 5251 and 5256?

Answer:

Least Common Multiple of 5251 and 5256 = 27599256

Step 1: Find the prime factorization of 5251

5251 = 59 x 89

Step 2: Find the prime factorization of 5256

5256 = 2 x 2 x 2 x 3 x 3 x 73

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

LCM = 27599256 = 2 x 2 x 2 x 3 x 3 x 59 x 73 x 89

Step 4: Therefore, the least common multiple of 5251 and 5256 is 27599256.