Least Common Multiple of 8248 and 8253

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 8253 the smallest integer that is 68070744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8248 and 8253 is 68070744.

LCM(8248,8253) = 68070744

LCM of 8248 and 8253

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

LCM of:
and

Least Common Multiple of 8248 and 8253

LCM of 8248 and 8253 is 68070744

Least common multiple can be found by multiplying the highest exponent prime factors of 8248 and 8253. First we will calculate the prime factors of 8248 and 8253.

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 8253


3 8253
3 2751
7 917
131 131
1

Prime factors of 8253 are 3, 7,131. Prime factorization of 8253 in exponential form is:

8253 = 32×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8248 and 8253.

LCM(8248,8253) = 23×32×71×1311×10311
LCM(8248,8253) = 68070744

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 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253

Least Common Multiple of 8248 and 8253 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 8253, than apply into the LCM equation.

GCF(8248,8253) = 1
LCM(8248,8253) = ( 8248 × 8253) / 1
LCM(8248,8253) = 68070744 / 1
LCM(8248,8253) = 68070744

Properties of LCM 8248 and 8253

(i) The LCM of 8253 and 8248 is associative

LCM of 8248 and 8253 = LCM of 8253 and 8248

Related Least Common Multiples of 8248

Related Least Common Multiples of 8253

Frequently Asked Questions on LCM of 8248 and 8253

1. What is the LCM of 8248 and 8253?

Answer: LCM of 8248 and 8253 is 68070744.

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 8253?

Answer: Factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253. There are 12 integers that are factors of 8253. The greatest factor of 8253 is 8253.

4. How to Find the LCM of 8248 and 8253?

Answer:

Least Common Multiple of 8248 and 8253 = 68070744

Step 1: Find the prime factorization of 8248

8248 = 2 x 2 x 2 x 1031

Step 2: Find the prime factorization of 8253

8253 = 3 x 3 x 7 x 131

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

LCM = 68070744 = 2 x 2 x 2 x 3 x 3 x 7 x 131 x 1031

Step 4: Therefore, the least common multiple of 8248 and 8253 is 68070744.