Least Common Multiple of 8456 and 8459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8456 and 8459 the smallest integer that is 71529304 that is divisible by both numbers.

Least Common Multiple (LCM) of 8456 and 8459 is 71529304.

LCM(8456,8459) = 71529304

LCM of 8456 and 8459

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

LCM of:
and

Least Common Multiple of 8456 and 8459

LCM of 8456 and 8459 is 71529304

Least common multiple can be found by multiplying the highest exponent prime factors of 8456 and 8459. First we will calculate the prime factors of 8456 and 8459.

Prime Factorization of 8456


2 8456
2 4228
2 2114
7 1057
151 151
1

Prime factors of 8456 are 2, 7,151. Prime factorization of 8456 in exponential form is:

8456 = 23×71×1511

Prime Factorization of 8459


11 8459
769 769
1

Prime factors of 8459 are 11,769. Prime factorization of 8459 in exponential form is:

8459 = 111×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 8456 and 8459.

LCM(8456,8459) = 23×71×111×1511×7691
LCM(8456,8459) = 71529304

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456

Factors of 8459

List of positive integer factors of 8459 that divides 8459 without a remainder.

1, 11, 769, 8459

Least Common Multiple of 8456 and 8459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8456 and 8459, than apply into the LCM equation.

GCF(8456,8459) = 1
LCM(8456,8459) = ( 8456 × 8459) / 1
LCM(8456,8459) = 71529304 / 1
LCM(8456,8459) = 71529304

Properties of LCM 8456 and 8459

(i) The LCM of 8459 and 8456 is associative

LCM of 8456 and 8459 = LCM of 8459 and 8456

Related Least Common Multiples of 8456

Related Least Common Multiples of 8459

Frequently Asked Questions on LCM of 8456 and 8459

1. What is the LCM of 8456 and 8459?

Answer: LCM of 8456 and 8459 is 71529304.

2. What are the Factors of 8456?

Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.

3. What are the Factors of 8459?

Answer: Factors of 8459 are 1, 11, 769, 8459. There are 4 integers that are factors of 8459. The greatest factor of 8459 is 8459.

4. How to Find the LCM of 8456 and 8459?

Answer:

Least Common Multiple of 8456 and 8459 = 71529304

Step 1: Find the prime factorization of 8456

8456 = 2 x 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 8459

8459 = 11 x 769

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

LCM = 71529304 = 2 x 2 x 2 x 7 x 11 x 151 x 769

Step 4: Therefore, the least common multiple of 8456 and 8459 is 71529304.