Least Common Multiple of 8449 and 8456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8449 and 8456 the smallest integer that is 10206392 that is divisible by both numbers.

Least Common Multiple (LCM) of 8449 and 8456 is 10206392.

LCM(8449,8456) = 10206392

LCM of 8449 and 8456

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

LCM of:
and

Least Common Multiple of 8449 and 8456

LCM of 8449 and 8456 is 10206392

Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8456. First we will calculate the prime factors of 8449 and 8456.

Prime Factorization of 8449


7 8449
17 1207
71 71
1

Prime factors of 8449 are 7, 17,71. Prime factorization of 8449 in exponential form is:

8449 = 71×171×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8449 and 8456.

LCM(8449,8456) = 23×71×171×711×1511
LCM(8449,8456) = 10206392

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1, 7, 17, 71, 119, 497, 1207, 8449

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

Least Common Multiple of 8449 and 8456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8449 and 8456, than apply into the LCM equation.

GCF(8449,8456) = 7
LCM(8449,8456) = ( 8449 × 8456) / 7
LCM(8449,8456) = 71444744 / 7
LCM(8449,8456) = 10206392

Properties of LCM 8449 and 8456

(i) The LCM of 8456 and 8449 is associative

LCM of 8449 and 8456 = LCM of 8456 and 8449

Related Least Common Multiples of 8449

Related Least Common Multiples of 8456

Frequently Asked Questions on LCM of 8449 and 8456

1. What is the LCM of 8449 and 8456?

Answer: LCM of 8449 and 8456 is 10206392.

2. What are the Factors of 8449?

Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.

3. 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.

4. How to Find the LCM of 8449 and 8456?

Answer:

Least Common Multiple of 8449 and 8456 = 10206392

Step 1: Find the prime factorization of 8449

8449 = 7 x 17 x 71

Step 2: Find the prime factorization of 8456

8456 = 2 x 2 x 2 x 7 x 151

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

LCM = 10206392 = 2 x 2 x 2 x 7 x 17 x 71 x 151

Step 4: Therefore, the least common multiple of 8449 and 8456 is 10206392.