Least Common Multiple of 8254 and 8259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8254 and 8259 the smallest integer that is 68169786 that is divisible by both numbers.

Least Common Multiple (LCM) of 8254 and 8259 is 68169786.

LCM(8254,8259) = 68169786

LCM of 8254 and 8259

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

LCM of:
and

Least Common Multiple of 8254 and 8259

LCM of 8254 and 8259 is 68169786

Least common multiple can be found by multiplying the highest exponent prime factors of 8254 and 8259. First we will calculate the prime factors of 8254 and 8259.

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

Prime Factorization of 8259


3 8259
2753 2753
1

Prime factors of 8259 are 3,2753. Prime factorization of 8259 in exponential form is:

8259 = 31×27531

Now multiplying the highest exponent prime factors to calculate the LCM of 8254 and 8259.

LCM(8254,8259) = 21×31×27531×41271
LCM(8254,8259) = 68169786

Factors of 8254

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

1, 2, 4127, 8254

Factors of 8259

List of positive integer factors of 8259 that divides 8259 without a remainder.

1, 3, 2753, 8259

Least Common Multiple of 8254 and 8259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8254 and 8259, than apply into the LCM equation.

GCF(8254,8259) = 1
LCM(8254,8259) = ( 8254 × 8259) / 1
LCM(8254,8259) = 68169786 / 1
LCM(8254,8259) = 68169786

Properties of LCM 8254 and 8259

(i) The LCM of 8259 and 8254 is associative

LCM of 8254 and 8259 = LCM of 8259 and 8254

Related Least Common Multiples of 8254

Related Least Common Multiples of 8259

Frequently Asked Questions on LCM of 8254 and 8259

1. What is the LCM of 8254 and 8259?

Answer: LCM of 8254 and 8259 is 68169786.

2. 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.

3. What are the Factors of 8259?

Answer: Factors of 8259 are 1, 3, 2753, 8259. There are 4 integers that are factors of 8259. The greatest factor of 8259 is 8259.

4. How to Find the LCM of 8254 and 8259?

Answer:

Least Common Multiple of 8254 and 8259 = 68169786

Step 1: Find the prime factorization of 8254

8254 = 2 x 4127

Step 2: Find the prime factorization of 8259

8259 = 3 x 2753

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

LCM = 68169786 = 2 x 3 x 2753 x 4127

Step 4: Therefore, the least common multiple of 8254 and 8259 is 68169786.