Least Common Multiple of 5245 and 5253

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 5253 the smallest integer that is 27551985 that is divisible by both numbers.

Least Common Multiple (LCM) of 5245 and 5253 is 27551985.

LCM(5245,5253) = 27551985

LCM of 5245 and 5253

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

LCM of:
and

Least Common Multiple of 5245 and 5253

LCM of 5245 and 5253 is 27551985

Least common multiple can be found by multiplying the highest exponent prime factors of 5245 and 5253. First we will calculate the prime factors of 5245 and 5253.

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 5253


3 5253
17 1751
103 103
1

Prime factors of 5253 are 3, 17,103. Prime factorization of 5253 in exponential form is:

5253 = 31×171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5245 and 5253.

LCM(5245,5253) = 31×51×171×1031×10491
LCM(5245,5253) = 27551985

Factors of 5245

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

1, 5, 1049, 5245

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1, 3, 17, 51, 103, 309, 1751, 5253

Least Common Multiple of 5245 and 5253 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 5253, than apply into the LCM equation.

GCF(5245,5253) = 1
LCM(5245,5253) = ( 5245 × 5253) / 1
LCM(5245,5253) = 27551985 / 1
LCM(5245,5253) = 27551985

Properties of LCM 5245 and 5253

(i) The LCM of 5253 and 5245 is associative

LCM of 5245 and 5253 = LCM of 5253 and 5245

Related Least Common Multiples of 5245

Related Least Common Multiples of 5253

Frequently Asked Questions on LCM of 5245 and 5253

1. What is the LCM of 5245 and 5253?

Answer: LCM of 5245 and 5253 is 27551985.

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 5253?

Answer: Factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253. There are 8 integers that are factors of 5253. The greatest factor of 5253 is 5253.

4. How to Find the LCM of 5245 and 5253?

Answer:

Least Common Multiple of 5245 and 5253 = 27551985

Step 1: Find the prime factorization of 5245

5245 = 5 x 1049

Step 2: Find the prime factorization of 5253

5253 = 3 x 17 x 103

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

LCM = 27551985 = 3 x 5 x 17 x 103 x 1049

Step 4: Therefore, the least common multiple of 5245 and 5253 is 27551985.