Least Common Multiple of 8247 and 8254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8247 and 8254 the smallest integer that is 68070738 that is divisible by both numbers.

Least Common Multiple (LCM) of 8247 and 8254 is 68070738.

LCM(8247,8254) = 68070738

LCM of 8247 and 8254

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

LCM of:
and

Least Common Multiple of 8247 and 8254

LCM of 8247 and 8254 is 68070738

Least common multiple can be found by multiplying the highest exponent prime factors of 8247 and 8254. First we will calculate the prime factors of 8247 and 8254.

Prime Factorization of 8247


3 8247
2749 2749
1

Prime factors of 8247 are 3,2749. Prime factorization of 8247 in exponential form is:

8247 = 31×27491

Prime Factorization of 8254


2 8254
4127 4127
1

Prime factors of 8254 are 2,4127. Prime factorization of 8254 in exponential form is:

8254 = 21×41271

Now multiplying the highest exponent prime factors to calculate the LCM of 8247 and 8254.

LCM(8247,8254) = 21×31×27491×41271
LCM(8247,8254) = 68070738

Factors of 8247

List of positive integer factors of 8247 that divides 8247 without a remainder.

1, 3, 2749, 8247

Factors of 8254

List of positive integer factors of 8254 that divides 8254 without a remainder.

1, 2, 4127, 8254

Least Common Multiple of 8247 and 8254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8247 and 8254, than apply into the LCM equation.

GCF(8247,8254) = 1
LCM(8247,8254) = ( 8247 × 8254) / 1
LCM(8247,8254) = 68070738 / 1
LCM(8247,8254) = 68070738

Properties of LCM 8247 and 8254

(i) The LCM of 8254 and 8247 is associative

LCM of 8247 and 8254 = LCM of 8254 and 8247

Related Least Common Multiples of 8247

Related Least Common Multiples of 8254

Frequently Asked Questions on LCM of 8247 and 8254

1. What is the LCM of 8247 and 8254?

Answer: LCM of 8247 and 8254 is 68070738.

2. What are the Factors of 8247?

Answer: Factors of 8247 are 1, 3, 2749, 8247. There are 4 integers that are factors of 8247. The greatest factor of 8247 is 8247.

3. What are the Factors of 8254?

Answer: Factors of 8254 are 1, 2, 4127, 8254. There are 4 integers that are factors of 8254. The greatest factor of 8254 is 8254.

4. How to Find the LCM of 8247 and 8254?

Answer:

Least Common Multiple of 8247 and 8254 = 68070738

Step 1: Find the prime factorization of 8247

8247 = 3 x 2749

Step 2: Find the prime factorization of 8254

8254 = 2 x 4127

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

LCM = 68070738 = 2 x 3 x 2749 x 4127

Step 4: Therefore, the least common multiple of 8247 and 8254 is 68070738.