Least Common Multiple of 8248 and 8252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8248 and 8252 the smallest integer that is 17015624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8248 and 8252 is 17015624.

LCM(8248,8252) = 17015624

LCM of 8248 and 8252

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

LCM of:
and

Least Common Multiple of 8248 and 8252

LCM of 8248 and 8252 is 17015624

Least common multiple can be found by multiplying the highest exponent prime factors of 8248 and 8252. First we will calculate the prime factors of 8248 and 8252.

Prime Factorization of 8248


2 8248
2 4124
2 2062
1031 1031
1

Prime factors of 8248 are 2,1031. Prime factorization of 8248 in exponential form is:

8248 = 23×10311

Prime Factorization of 8252


2 8252
2 4126
2063 2063
1

Prime factors of 8252 are 2,2063. Prime factorization of 8252 in exponential form is:

8252 = 22×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 8248 and 8252.

LCM(8248,8252) = 23×10311×20631
LCM(8248,8252) = 17015624

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1, 2, 4, 8, 1031, 2062, 4124, 8248

Factors of 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1, 2, 4, 2063, 4126, 8252

Least Common Multiple of 8248 and 8252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8248 and 8252, than apply into the LCM equation.

GCF(8248,8252) = 4
LCM(8248,8252) = ( 8248 × 8252) / 4
LCM(8248,8252) = 68062496 / 4
LCM(8248,8252) = 17015624

Properties of LCM 8248 and 8252

(i) The LCM of 8252 and 8248 is associative

LCM of 8248 and 8252 = LCM of 8252 and 8248

Related Least Common Multiples of 8248

Related Least Common Multiples of 8252

Frequently Asked Questions on LCM of 8248 and 8252

1. What is the LCM of 8248 and 8252?

Answer: LCM of 8248 and 8252 is 17015624.

2. What are the Factors of 8248?

Answer: Factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248. There are 8 integers that are factors of 8248. The greatest factor of 8248 is 8248.

3. What are the Factors of 8252?

Answer: Factors of 8252 are 1, 2, 4, 2063, 4126, 8252. There are 6 integers that are factors of 8252. The greatest factor of 8252 is 8252.

4. How to Find the LCM of 8248 and 8252?

Answer:

Least Common Multiple of 8248 and 8252 = 17015624

Step 1: Find the prime factorization of 8248

8248 = 2 x 2 x 2 x 1031

Step 2: Find the prime factorization of 8252

8252 = 2 x 2 x 2063

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

LCM = 17015624 = 2 x 2 x 2 x 1031 x 2063

Step 4: Therefore, the least common multiple of 8248 and 8252 is 17015624.