Least Common Multiple of 5245 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 5245 and 5251 the smallest integer that is 27541495 that is divisible by both numbers.

Least Common Multiple (LCM) of 5245 and 5251 is 27541495.

LCM(5245,5251) = 27541495

LCM of 5245 and 5251

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

LCM of:
and

Least Common Multiple of 5245 and 5251

LCM of 5245 and 5251 is 27541495

Least common multiple can be found by multiplying the highest exponent prime factors of 5245 and 5251. First we will calculate the prime factors of 5245 and 5251.

Prime Factorization of 5245


5 5245
1049 1049
1

Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:

5245 = 51×10491

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 5245 and 5251.

LCM(5245,5251) = 51×591×891×10491
LCM(5245,5251) = 27541495

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1, 5, 1049, 5245

Factors of 5251

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

1, 59, 89, 5251

Least Common Multiple of 5245 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 5245 and 5251, than apply into the LCM equation.

GCF(5245,5251) = 1
LCM(5245,5251) = ( 5245 × 5251) / 1
LCM(5245,5251) = 27541495 / 1
LCM(5245,5251) = 27541495

Properties of LCM 5245 and 5251

(i) The LCM of 5251 and 5245 is associative

LCM of 5245 and 5251 = LCM of 5251 and 5245

Related Least Common Multiples of 5245

Related Least Common Multiples of 5251

Frequently Asked Questions on LCM of 5245 and 5251

1. What is the LCM of 5245 and 5251?

Answer: LCM of 5245 and 5251 is 27541495.

2. What are the Factors of 5245?

Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.

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 5245 and 5251?

Answer:

Least Common Multiple of 5245 and 5251 = 27541495

Step 1: Find the prime factorization of 5245

5245 = 5 x 1049

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 = 27541495 = 5 x 59 x 89 x 1049

Step 4: Therefore, the least common multiple of 5245 and 5251 is 27541495.